Braids, Links, and Mapping Class Groups. (AM-82) (Annals of Mathematics Studies, 82) - Softcover

Birman, Joan S.

 
9780691081496: Braids, Links, and Mapping Class Groups. (AM-82) (Annals of Mathematics Studies, 82)
Softcover
ISBN 10: 0691081492 ISBN 13: 9780691081496
Verlag: Princeton University Press, 1975

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

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Verlag
Princeton University Press
Erscheinungsdatum
1975
Sprache
Englisch
ISBN 10 
0691081492
ISBN 13 
9780691081496
Einband
Tapa blanda
Anzahl der Seiten
240
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Verantwortliche Person
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