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THOM SPECTRA OF GENERALIZED BRAID GROUPS

Published online by Cambridge University Press:  01 February 2000

VLADIMIR V. VERSHININ
VLADIMIR V. VERSHININ
Affiliation:
Sobolev Institute of Mathematics, Novosibirsk 630090, Russia; versh@math.nsc.ru
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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
Information
Journal of the London Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 245 - 258
Copyright
The London Mathematical Society 2000

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