Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-25T04:52:45.159Z Has data issue: false hasContentIssue false

THOM SPECTRA OF GENERALIZED BRAID GROUPS

Published online by Cambridge University Press:  01 February 2000

VLADIMIR V. VERSHININ
Affiliation:
Sobolev Institute of Mathematics, Novosibirsk 630090, Russia; [email protected]
Get access

Abstract

It is proved that Thom spectra of generalized braid groups are the wedges of suspensions over the Eilenberg–MacLane spectrum for ℤ/2. The precise structure of the Thom spectra of the generalized braid groups of the types C and D is obtained. For the generalized braid groups of type C the natural pairing analogous to the pairing of the classical braids is studied. This pairing generates the multiplicative structure of the Thom spectrum such that the corresponding bordism theory has the coefficient ring isomorphic to the polynomial ring over ℤ/2 on one generator of dimension 1[ratio ]ℤ/2[s].

Type
Notes and Papers
Copyright
The London Mathematical Society 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)