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ArticleOriginal scientific text

Title

Homology of braid groups and their generalizations

Authors 1

Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia, cr

Abstract

In the paper we give a survey of (co)homologies of braid groups and groups connected with them. Among these groups are pure braid groups and generalized braid groups. We present explicit formulations of some theorems of V. I. Arnold, E. Brieskorn, D. B. Fuks, F. Cohen, V. V. Goryunov and others. The ideas of some proofs are outlined. As an application of (co)homologies of braid groups we study the Thom spectra of these groups.

Keywords

ENG
generalized braid group, configuration space, homology, Eilenberg-MacLane spectrum, Braid group, Coxeter group, Thom spectrum

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Banach Center Publications
1998/42/1
Export to PBN, Opens in new tab
Pages:
421-446
Main language of publication
English
Published
1998
Exact and natural sciences