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Abstract
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In this paper we compute the homology of the braid groups, with coefficients in the module
given by
the ring of Laurent polynomials with integer coefficients and where the action of the braid
group is defined by mapping each generator of the standard presentation to multiplication
by .
The homology thus computed is isomorphic to the homology with constant
coefficients of the Milnor fiber of the discriminantal singularity.
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Keywords
braid groups, Milnor fiber, local system
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Mathematical Subject Classification 2000
Primary: 20F36
Secondary: 20J06, 32S55
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Publication
Received: 30 November 2005
Revised: 22 September 2006
Accepted: 23 September 2006
Published: 14 November 2006
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