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THE $\eltwo$-COHOMOLOGY OF ARTIN GROUPS

Published online by Cambridge University Press:  25 September 2003

M. W. DAVIS  and
I. J. LEARY
M. W. DAVIS
Affiliation:
Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, OH 43210, USAmdavis@math.ohio-state.edu
I. J. LEARY
Affiliation:
Faculty of Mathematical Studies, University of Southampton, Southampton, SO17 1BJ i.j.leary@maths.soton.ac.uk
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Abstract

For each Artin group, the reduced $\eltwo$-cohomology of (the universal cover of) its ‘Salvetti complex’ is computed. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. In the many cases when this conjecture is known to hold the calculation describes the reduced $\eltwo$-cohomology of the Artin group.

Keywords

57M07 (primary)20F3620J05 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 493 - 510
Copyright
The London Mathematical Society 2003

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