Homology of braid groups and their generalizations
Tom 42 / 1998
Banach Center Publications 42 (1998), 421-446
DOI: 10.4064/-42-1-421-446
Streszczenie
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.