WorldCat Identities

Birman, Joan S. 1927-

Overview
Works: 41 works in 145 publications in 1 language and 2,388 library holdings
Genres: Conference papers and proceedings  Filmed lectures  Nonfiction films  Interviews  Filmed interviews  Educational films 
Roles: Author, Editor, Other
Publication Timeline
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Most widely held works about Joan S Birman
 
Most widely held works by Joan S Birman
Seifert and Threlfall, A textbook of topology by H Seifert( Book )

25 editions published between 1980 and 1991 in English and held by 794 WorldCat member libraries worldwide

Seifert and Threlfall : A textbook of topology. Illustrative material ; Simplicial complexes ; Homology groups ; Simplicial approximations ; Local properties ; Surface topology ; The fundamental group ; Covering complexes ; 3-dimensional manifolds ; n[italicized]-dimensional manifolds ; Continuous mappings ; Auxiliary theorems from the theory of groups -- Seifert : Topology of 3-dimensional fibered spaces
Braids, links, and mapping class groups by Joan S Birman( Book )

22 editions published between 1965 and 2016 in English and held by 711 WorldCat member libraries worldwide

The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane and sphere. In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem. After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems. Chapter 3 offers discussion of matrix representations of the free group and of subgroups of the automorphism group of the free group. These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief discussion of the theory of "plats." Research problems are included in an appendix
Braids : proceedings of a summer research conference held July 13-16, 1986 by AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Artin's Braid Group( Book )

18 editions published between 1988 and 2012 in English and held by 292 WorldCat member libraries worldwide

The mathematical legacy of Wilhelm Magnus : groups, geometry, and special functions : Conference on the Legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic University, Brooklyn, New York by Conference on the Legacy of Wilhelm Magnus( Book )

20 editions published between 1994 and 2012 in English and held by 279 WorldCat member libraries worldwide

Knots, braids, and mapping class groups--papers dedicated to Joan S. Birman : proceedings of a conference on low dimensional topology in honor of Joan S. Birman's 70th birthday, March 14-15, 1998, Columbia University, New York, New York by Jane Gilman( Book )

5 editions published in 2001 in English and Undetermined and held by 149 WorldCat member libraries worldwide

There are a number of specialties in low-dimensional topology that can find in their "family tree" a common ancestry in the theory of surface mappings. These include knot theory as studied through the use of braid representations and 3-manifolds as studied through the use of Heegaard splittings. The study of the surface mapping class group (the modular group) is of course a rich subject in its own right, with relations to many different fields of mathematics and theoretical physics. But its most direct and remarkable manifestation is probably in the vast area of low-dimensional topology. Altho
Braids, Links, and Mapping Class Groups. (AM-82) by Joan S Birman( )

1 edition published in 2016 in English and held by 19 WorldCat member libraries worldwide

The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology. In Chapter 1 the author is concerned with the concept of a braid as a group of motions of points in a manifold. She studies structural and algebraic properties of the braid groups of two manifolds, and derives systems of defining relations for the braid groups of the plane and sphere. In Chapter 2 she focuses on the connections between the classical braid group and the classical knot problem. After reviewing basic results she proceeds to an exploration of some possible implications of the Garside and Markov theorems. Chapter 3 offers discussion of matrix representations of the free group and of subgroups of the automorphism group of the free group. These ideas come to a focus in the difficult open question of whether Burau's matrix representation of the braid group is faithful. Chapter 4 is a broad view of recent results on the connections between braid groups and mapping class groups of surfaces. Chapter 5 contains a brief discussion of the theory of "plats." Research problems are included in an appendix
Braids, Links, and Mapping Class Groups. (AM-82) by Joan S Birman( )

2 editions published between 1974 and 1975 in English and held by 17 WorldCat member libraries worldwide

Studying links via closed braids by Joan S Birman( Book )

3 editions published in 1994 in English and held by 12 WorldCat member libraries worldwide

Addresses on the works of fields medalists and Rolf Nevanliuna prize winner( Visual )

3 editions published in 1990 in English and held by 10 WorldCat member libraries worldwide

Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California by AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Artin's Braid Group( )

1 edition published in 1988 in English and held by 10 WorldCat member libraries worldwide

Special issue on braid groups and related topics( Book )

4 editions published in 1997 in English and held by 7 WorldCat member libraries worldwide

The Mathematical Legacy of Wilhelm Magnus by William Abikoff( )

1 edition published in 1994 in English and held by 7 WorldCat member libraries worldwide

Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry, and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University to honor the memory of Magnus. The focus of the book is on active areas of current research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics
Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July 13-16, 1986, with support from the National Science Foundation by AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Artin's Braid Group( Book )

2 editions published in 1988 in English and held by 4 WorldCat member libraries worldwide

Towards an implementation of the B-H algorithm for recognizing the unknot by Joan S Birman( Book )

2 editions published in 2001 in English and held by 4 WorldCat member libraries worldwide

A new look at knot polynomials : Baltimore, Maryland - January 1992 by Joan S Birman( Book )

2 editions published in 1992 in English and held by 3 WorldCat member libraries worldwide

Braids by AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Artin's Braid Group( Book )

2 editions published in 1988 in English and held by 3 WorldCat member libraries worldwide

One-sided Heegaard splittings and homeotopy groups of some 3-manifolds by Joachim Hyam Rubinstein( Book )

2 editions published in 1984 in English and held by 3 WorldCat member libraries worldwide

Knots 2000 Korea : proceedings of Knots 2000 joint with the 8th Korea-Japan School of Knots and Links, Yongpyong Resort, Korea, July 31-August 5, 2000 by Knots 2000( Book )

2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide

Braids : proceedings of the AMS-IMS-SIAM joint summer research conference, held July 13-26, 1986( Book )

1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide

A new look at knot polynomials : lecture, January 8, 1992, Baltimore, MD by Joan S Birman( Visual )

2 editions published between 1992 and 1993 in English and held by 2 WorldCat member libraries worldwide

Combines a lecture with an informal interview to bring out the fascination of the subject of knot polynomials as well as provide a personal view of the field from one of its leaders
 
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Braids, links, and mapping class groups
Covers
Braids, links, and mapping class groupsKnots, braids, and mapping class groups--papers dedicated to Joan S. Birman : proceedings of a conference on low dimensional topology in honor of Joan S. Birman's 70th birthday, March 14-15, 1998, Columbia University, New York, New York
Alternative Names
Joan Birman Amerikaans wiskundige

Joan Birman amerikansk matematikar

Joan Birman amerikansk matematiker

Joan Birman Mathematician

Joan Birman US-amerikanische Mathematikerin

ג'ואן בירמן

جوآن برمن ریاضی‌دان آمریکایی

جوان بيرمان رياضياتية أمريكية

Languages
English (122)