Fulton, William 1939
Overview
Works:  62 works in 396 publications in 5 languages and 7,321 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Other, Editor, Honoree 
Classifications:  QA564, 512.33 
Publication Timeline
.
Most widely held works about
William Fulton
 Special volume in honor of William Fulton( Book )
 Henry Russel Lectureship Committee (University of Michigan) sound recordings series by University of Michigan( Recording )
Most widely held works by
William Fulton
Algebraic curves, an introduction to algebraic geometry by
William Fulton(
Book
)
66 editions published between 1969 and 2005 in 4 languages and held by 858 WorldCat member libraries worldwide
66 editions published between 1969 and 2005 in 4 languages and held by 858 WorldCat member libraries worldwide
Intersection theory by
William Fulton(
Book
)
37 editions published between 1984 and 1998 in 4 languages and held by 773 WorldCat member libraries worldwide
From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference
37 editions published between 1984 and 1998 in 4 languages and held by 773 WorldCat member libraries worldwide
From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. The aim of this book is to develop the foundations of intersection theory, and to indicate the range of classical and modern applications. Although a comprehensive his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference
Representation theory : a first course by
William Fulton(
Book
)
43 editions published between 1991 and 2005 in 3 languages and held by 765 WorldCat member libraries worldwide
The primary goal of these lectures is to introduce a beginner to the finitedimensional representations of Lie groups and Lie algebras. Intended to serve nonspecialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups. The focus then turns to Lie groups and Lie algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups. The goal of the last portion of the book is to make a bridge between the exampleoriented approach of the earlier parts and the general theory.  PUBLISHER DESCRIPTION
43 editions published between 1991 and 2005 in 3 languages and held by 765 WorldCat member libraries worldwide
The primary goal of these lectures is to introduce a beginner to the finitedimensional representations of Lie groups and Lie algebras. Intended to serve nonspecialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups. The focus then turns to Lie groups and Lie algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups. The goal of the last portion of the book is to make a bridge between the exampleoriented approach of the earlier parts and the general theory.  PUBLISHER DESCRIPTION
Algebraic topology : a first course by
William Fulton(
Book
)
26 editions published between 1995 and 2009 in English and Undetermined and held by 691 WorldCat member libraries worldwide
This book introduces the important ideas of algebraic topology by emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encountered. This makes it possible to see a wider variety of important features in the subject than is common in introductory texts; it is also in harmony with the historical development of the subject. The book is aimed at students who do not necessarily intend on specializing in algebraic topology
26 editions published between 1995 and 2009 in English and Undetermined and held by 691 WorldCat member libraries worldwide
This book introduces the important ideas of algebraic topology by emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encountered. This makes it possible to see a wider variety of important features in the subject than is common in introductory texts; it is also in harmony with the historical development of the subject. The book is aimed at students who do not necessarily intend on specializing in algebraic topology
RiemannRoch algebra by
William Fulton(
Book
)
15 editions published between 1984 and 2010 in English and Undetermined and held by 480 WorldCat member libraries worldwide
In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K+A of contravariant functors. The Chern character being the central exam ple, we call the homomorphisms Px: K(X)+ A(X) characters. Given f: X+ Y, we denote the pullback homomorphisms by and fA: A(Y)+ A(X). As functors to abelian groups, K and A may also be covariant, with pushforward homomorphisms and fA: A(X)+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)~A(X) fK j J~A K(Y) p;+ A(Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that RiemannRoch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this RiemannRoch type have appeared. Un derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises
15 editions published between 1984 and 2010 in English and Undetermined and held by 480 WorldCat member libraries worldwide
In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K+A of contravariant functors. The Chern character being the central exam ple, we call the homomorphisms Px: K(X)+ A(X) characters. Given f: X+ Y, we denote the pullback homomorphisms by and fA: A(Y)+ A(X). As functors to abelian groups, K and A may also be covariant, with pushforward homomorphisms and fA: A(X)+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)~A(X) fK j J~A K(Y) p;+ A(Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that RiemannRoch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this RiemannRoch type have appeared. Un derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises
Introduction to toric varieties by
William Fulton(
Book
)
18 editions published between 1993 and 1997 in English and held by 472 WorldCat member libraries worldwide
18 editions published between 1993 and 1997 in English and held by 472 WorldCat member libraries worldwide
Young tableaux : with applications to representation theory and geometry by
William Fulton(
Book
)
27 editions published between 1996 and 2003 in English and held by 464 WorldCat member libraries worldwide
Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry
27 editions published between 1996 and 2003 in English and held by 464 WorldCat member libraries worldwide
Describes combinatorics involving Young tableaux and their uses in representation theory and algebraic geometry
Introduction to intersection theory in algebraic geometry by
William Fulton(
Book
)
27 editions published between 1984 and 1999 in English and held by 373 WorldCat member libraries worldwide
27 editions published between 1984 and 1999 in English and held by 373 WorldCat member libraries worldwide
Schubert varieties and degeneracy loci by
William Fulton(
Book
)
21 editions published in 1998 in English and German and held by 337 WorldCat member libraries worldwide
Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry
21 editions published in 1998 in English and German and held by 337 WorldCat member libraries worldwide
Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry
Algebraic geometry : proceedings of the Third Midwest Algebraic Geometry Conference held at the University of Michigan, Ann
Arbor, USA, November 1415, 1981 by
I Dolgachev(
Book
)
14 editions published in 1991 in English and held by 312 WorldCat member libraries worldwide
"This volume contains the proceedings of the KoreaJapan Conference on Algebraic Geometry in honor of Igor Dolgachev on his sixtieth birthday. The articles in this volume explore a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered by this volume are algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, MordellWeil lattices, and automorphisms of hyperkahler manifolds."Jacket
14 editions published in 1991 in English and held by 312 WorldCat member libraries worldwide
"This volume contains the proceedings of the KoreaJapan Conference on Algebraic Geometry in honor of Igor Dolgachev on his sixtieth birthday. The articles in this volume explore a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered by this volume are algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, MordellWeil lattices, and automorphisms of hyperkahler manifolds."Jacket
Categorical framework for the study of singular spaces by
William Fulton(
Book
)
13 editions published between 1981 and 1984 in English and held by 235 WorldCat member libraries worldwide
13 editions published between 1981 and 1984 in English and held by 235 WorldCat member libraries worldwide
Recent progress in intersection theory by
Geir Ellingsrud(
Book
)
7 editions published in 2000 in English and held by 140 WorldCat member libraries worldwide
The articles in this volume are an outgrowth of an International Confer ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were researchoriented as well as partly expository. There were four series of expository talks by the following people: M. Brion, University of Grenoble, on Equivariant Chow groups and applications; H. Flenner, University of Bochum, on Joins and intersections; E.M. Friedlander, Northwestern University, on Intersection products for spaces of algebraic cycles; R. Laterveer, University of Strasbourg, on Bigraded Chow (co)homology. Four introductory papers cover the following topics and bring the reader to the forefront of research: 1) the excess intersection algorithm of Stuckrad and Vogel, combined with the deformation to the normal cone, together with many of its geo metric applications; 2) new and very important homotopy theory techniques that are now used in intersection theory; 3) the BlochBeilinson filtration and the theory of motives; 4) algebraic stacks, the modern language of moduli theory. Other research articles concern such active fields as stable maps and GromovWitten invariants, deformation theory of complex varieties, and others. Organizers of the conference were Rudiger Achilles, Mirella Manaresi, and Angelo Vistoli, all from the University of Bologna; the scientific com mittee consisted of Geir Ellingsrud, University of Oslo, William Fulton, University of Michigan at Ann Arbor, and Angelo Vistoli. The conference was financed by the European Union (contract no
7 editions published in 2000 in English and held by 140 WorldCat member libraries worldwide
The articles in this volume are an outgrowth of an International Confer ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were researchoriented as well as partly expository. There were four series of expository talks by the following people: M. Brion, University of Grenoble, on Equivariant Chow groups and applications; H. Flenner, University of Bochum, on Joins and intersections; E.M. Friedlander, Northwestern University, on Intersection products for spaces of algebraic cycles; R. Laterveer, University of Strasbourg, on Bigraded Chow (co)homology. Four introductory papers cover the following topics and bring the reader to the forefront of research: 1) the excess intersection algorithm of Stuckrad and Vogel, combined with the deformation to the normal cone, together with many of its geo metric applications; 2) new and very important homotopy theory techniques that are now used in intersection theory; 3) the BlochBeilinson filtration and the theory of motives; 4) algebraic stacks, the modern language of moduli theory. Other research articles concern such active fields as stable maps and GromovWitten invariants, deformation theory of complex varieties, and others. Organizers of the conference were Rudiger Achilles, Mirella Manaresi, and Angelo Vistoli, all from the University of Bologna; the scientific com mittee consisted of Geir Ellingsrud, University of Oslo, William Fulton, University of Michigan at Ann Arbor, and Angelo Vistoli. The conference was financed by the European Union (contract no
Algebraic geometry : Bowdoin 1985 by Summer Research Institute on Algebraic Geometry(
Book
)
3 editions published in 1987 in English and held by 46 WorldCat member libraries worldwide
3 editions published in 1987 in English and held by 46 WorldCat member libraries worldwide
On the De Rham cohomology of algebraic varieties by
Robin Hartshorne(
Book
)
3 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1975 in English and held by 7 WorldCat member libraries worldwide
Residual intersections and the double point formula by
William Fulton(
Book
)
6 editions published between 1976 and 1992 in English and held by 7 WorldCat member libraries worldwide
6 editions published between 1976 and 1992 in English and held by 7 WorldCat member libraries worldwide
Special volume in honor of William Fulton(
Book
)
3 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
Typical dynamics of volume preserving homeomorphisms by
Steve Alpern(
)
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
3 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This 2000 book provides a selfcontained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit ndimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short selfcontained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
Harmonic Maps, Conservation Laws and Moving Frames by
Béla Bollobás(
)
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
An accessible and selfcontained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book will be of particular interest to graduate students and researchers in geometry, analysis of partial differential equations and mathematical physics
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
An accessible and selfcontained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book will be of particular interest to graduate students and researchers in geometry, analysis of partial differential equations and mathematical physics
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Related Identities
 Harris, Joe 1951 Editor
 Weiss, Richard 1948 Contributor
 Lang, Serge 19272005
 Bloch, Spencer Other Author Editor
 Dolgachev, I. (Igor V.) Other Editor
 Pragacz, Piotr
 Conference Board of the Mathematical Sciences Other Editor
 MacPherson, Robert 1944
 Vistoli, Angelo 1958
 Ellingsrud, Geir Author
Useful Links
Associated Subjects
Agranoff, Bernard W., Algebraic topology Algebraic varieties Bassett, Leslie, Categories (Mathematics) Combinatorial analysis Coon, Minor Jesser, Covering spaces (Topology) Curves, Algebraic Differentiable dynamical systems Donahue, Thomas M Ergodic theory Fine, Sidney, Fulton, William, Fundamental groups (Mathematics) Geometry Geometry, Algebraic Group theory Harmonic maps Homeomorphisms Homology theory Intersection theory Kish, George, Lie algebras Lie groups Mathematics Measurepreserving transformations Modules (Algebra) Number theory Path integrals Representations of algebras Representations of groups Riemannian manifolds RiemannRoch theorems Riemann surfaces Schubert varieties Topological degree Topological groups Topology Toric varieties Vector bundles Vector fields Vinovskis, Maris A., Young tableaux
Alternative Names
Fulton, B. 1939
Fulton, Bill 1939
Fulton, U.
Fulton, W.
Fulton, W. 1939
Fulton, W. E. 1939
Fulton, W. (William)
Fulton, W. (William), 1939
Fulton, William
Fulton, William E.
Fulton, William E. 1939
William Fulton Amerikaans wiskundige
William Fulton amerikansk matematikar
William Fulton amerikansk matematiker
William Fulton matematico statunitense
William Fulton mathématicien américain
William Fulton USamerikanischer Mathematiker
Уильям Фултон американский математик
Фултон, Уильям.
وليم فولتن
ウィリアム・フルトン
フルトン, W
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