WorldCat Identities

Fulton, William 1939-

Works: 104 works in 459 publications in 5 languages and 8,394 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
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

Intersection theory by William Fulton( Book )

38 editions published between 1984 and 1998 in 4 languages and held by 775 WorldCat member libraries worldwide

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. A suggested prerequisite for the reading of this book is a first course in algebraic geometry. Fulton's introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996
Representation theory : a first course by William Fulton( Book )

45 editions published between 1991 and 2005 in 3 languages and held by 773 WorldCat member libraries worldwide

The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, 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 example-oriented 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 693 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
Riemann-Roch algebra by William Fulton( Book )

15 editions published between 1984 and 2010 in English and Undetermined and held by 477 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 pull-back homomorphisms by and fA: A(Y)--+ A(X). As functors to abelian groups, K and A may also be covariant, with push-forward 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 Riemann-Roch 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 Riemann-Roch 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 )

19 editions published between 1993 and 2016 in English and held by 475 WorldCat member libraries worldwide

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and Riemann-Roch translate into simple facts about polytopes, toric varieties provide a marvelous source of examples in algebraic geometry. In the other direction, general facts from algebraic geometry have implications for such polytopes, such as to the problem of the number of lattice points they contain. In spite of the fact that toric varieties are very special in the spectrum of all algebraic varieties, they provide a remarkably useful testing ground for general theories. The aim of this mini-course is to develop the foundations of the study of toric varieties, with examples, and describe some of these relations and applications. The text concludes with Stanley's theorem characterizing the numbers of simplicies in each dimension in a convex simplicial polytope. Although some general theorems are quoted without proof, the concrete interpretations via simplicial geometry should make the text accessible to beginners in algebraic geometry
Young tableaux : with applications to representation theory and geometry by William Fulton( Book )

29 editions published between 1996 and 2003 in English and held by 469 WorldCat member libraries worldwide

The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow
Introduction to intersection theory in algebraic geometry by William Fulton( Book )

30 editions published between 1983 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 338 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 US-USSR symposium held in Chicago, June 20-July 14, 1989 by Spencer Bloch( Book )

14 editions published in 1991 in English and held by 307 WorldCat member libraries worldwide

Categorical framework for the study of singular spaces by William Fulton( Book )

14 editions published between 1981 and 1984 in English and held by 233 WorldCat member libraries worldwide

Recent progress in intersection theory by Geir Ellingsrud( Book )

8 editions published in 2000 in English and held by 139 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 research-oriented 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 Bloch-Beilinson 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 Gromov-Witten 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 49 WorldCat member libraries worldwide

Special volume in honor of William Fulton( Book )

4 editions published in 2000 in English and held by 6 WorldCat member libraries worldwide

Galois Theories by Francis Borceux( )

2 editions published between 2001 and 2010 in English and held by 0 WorldCat member libraries worldwide

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience, the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. For all algebraists and category theorists this book will be a rewarding read
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

Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
Floer Homology Groups in Yang-Mills Theory by S. K Donaldson( )

1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide

Annotation This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for self-dual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated Seiberg-Witten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution
Fixed point theory and applications by Ravi P Agarwal( )

1 edition published in 2001 in English and held by 0 WorldCat member libraries worldwide

Annotation This clear exposition of the flourishing field of fixed point theory, an important tool in the fields of differential equations and functional equations, starts from the basics of Banach's contraction theorem and develops most of the main results and techniques. The book explores many applications of the theory to analysis, with topological considerations playing a crucial role. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type
Set theory by George J Tourlakis( )

1 edition published in 2003 in English and held by 0 WorldCat member libraries worldwide

This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing
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WorldCat IdentitiesRelated Identities
Representation theory : a first course
Alternative Names
Fulton, B. 1939-

Fulton, Bill 1939-

Fulton, U.

Fulton, U. 1939-

Fulton, Uil'jam 1939-

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 matemático estadounidense

William Fulton matematico statunitense

William Fulton mathématicien américain

William Fulton US-amerikanischer Mathematiker

Уильям Фултон американский математик

Фултон, Уильям.

وليم فولتن

وليم فولتن رياضياتي أمريكي


フルトン, W

Representation theory : a first courseAlgebraic topology : a first courseRiemann-Roch algebraIntroduction to toric varietiesYoung tableaux : with applications to representation theory and geometryIntroduction to intersection theory in algebraic geometrySchubert varieties and degeneracy lociAlgebraic geometry : proceedings of the US-USSR symposium held in Chicago, June 20-July 14, 1989