ISBN: 9780691081496

ID: 978069108149

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. Joan S. Birman, Books, Home and Garden, Crafts and Hobbies, Needlecrafts and Fabric, Weaving, Braids, Links, and Mapping Class Groups. (AM-82) Books>Home and Garden>Crafts and Hobbies>Needlecrafts and Fabric>Weaving, Princeton University Press

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ISBN: 9780691081496

ID: 2550042

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) Birman, Joan S., Princeton University Press

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ISBN: 9780691081496

Paperback, [PU: Princeton University Press], 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., Combinatorics & Graph Theory

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ISBN: 9780691081496

ID: 2547602

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. Mathematics Mathematics eBook, Princeton University Press

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ISBN: 9780691081496

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Braids, Links, and Mapping Class Groups. (AM-82) Braids-Links-and-Mapping-Class-Groups~~Joan-S-Birman Science>Mathematics>Mathematics Paperback, Princeton University Press

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Paperback, [PU: Princeton University Press], 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-dimensio… More...

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ISBN: 9780691081496

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Braids, Links, and Mapping Class Groups. (AM-82) Braids-Links-and-Mapping-Class-Groups~~Joan-S-Birman Science>Mathematics>Mathematics Paperback, Princeton University Press

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** Details of the book - Braids, Links, and Mapping Class Groups. (Am-82)**

EAN (ISBN-13): 9780691081496

ISBN (ISBN-10): 0691081492

Paperback

Publishing year: 1975

Publisher: PRINCETON UNIV PR

237 Pages

Weight: 0,345 kg

Language: eng/Englisch

Book in our database since 2007-02-11T15:26:07-05:00 (New York)

Detail page last modified on 2018-08-14T12:46:20-04:00 (New York)

ISBN/EAN: 0691081492

ISBN - alternate spelling:

0-691-08149-2, 978-0-691-08149-6

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