Braids, Links, and Mapping Class Groups. (AM-82), Volume 82

Name: Braids, Links, and Mapping Class Groups. (AM-82), Volume 82
Brand: Princeton University Press
SKU: 9780691081496
Price: 2046 CZK
Availability: InStock

Autor: Joan S. Birman

Jazyk:

Vazba: Brožovaná

Vydavatel: Princeton University Press

Dostupnost: Skladem u dodavatele

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The central theme of this study is Artin's braid group and the many ways that the notion of a braid...

Informace o knize

Autor

Joan S. Birman

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

1992

Stránek

237

EAN

9780691081496

ISBN

0691081492

Enbook ID

04640216

Vydavatel

Princeton University Press

Hmotnost

312

Rozměry

152 x 229 x 13

Kompletní popis

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.

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Braids, Links, and Mapping Class Groups. (AM-82), Volume 82

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