1.

Record Nr.

UNINA9910788786303321

Titolo

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 / / Joan S. Birman, Anatoly Libgober, editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1988]

©1988

ISBN

0-8218-7666-X

Descrizione fisica

1 online resource (766 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; 78 , 0271-4132

Disciplina

514/.224

Soggetti

Braid theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Artin's Braid Group ... held at the University of California, Santa Cruz, California on July 13-26, 1986, with support from the National Science Foundation"--T.p. verso.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Contents --  Organizing Committee --  List of Participants --  Introduction --  A construction of integrable differential system associated with braid groups --  Mapping class groups of surfaces --  Automorphic sets and braids and singularities --  The operator algebras of the two dimensional Ising model --  Artin's braid groups, classical homotopy theory, and sundry other curiosities --  Classification of solvorbifolds in dimension three - I --  Pure braid groups and products of free groups --  Polynomial covering maps --  Arithmetic analogues of braid groups and Galois representations --  Application of braids to fixed points of surface maps --  Statistical mechanics and the Jones polynomial --  Hurwitz action and finite quotients of braid groups --  Heights of simple loops and pseudo-Anosov homeomorphisms --  Linear representations of braid groups and classical Yang-Baxter equations --  A survey of Heeke algebras and the Artin braid groups --  On divisibility properties of braids associated with algebraic curves --  The panorama of polynomials for knots, links and skeins --  The structure of deleted symmetric products --  Braid group technique in complex geometry, I: Line Arrangements



in Cp2 --  Problems --  Polynomials from braids --  The Jones polynomial of satellite links about mutants --  On the deformation of certain type of algebraic varieties --  Braids and discriminants --  tk moves on links --  Mutually braided open books and new invariants of fibered links --  Generalized braid groups and self-energy Feynman integrals --  Markov classes in certain finite symplectic representations of braid groups --  The braid index of an algebraic link --  Markov algebras.