The  l  2 ‐Cohomology of Artin Groups | Zendy

Davis M. W. | Zendy; Leary I. J. | Zendy

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The l 2 ‐Cohomology of Artin Groups

Author(s) -

Davis M. W.,

Leary I. J.

Publication year - 2003

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610703004381

Subject(s) - cohomology , artin group , mathematics , classifying space , pure mathematics , conjecture , group (periodic table) , group cohomology , cover (algebra) , čech cohomology , space (punctuation) , artin l function , de rham cohomology , algebra over a field , conductor , coxeter group , equivariant cohomology , computer science , physics , geometry , quantum mechanics , mechanical engineering , engineering , operating system

For each Artin group, the reduced l 2 ‐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 l 2 ‐cohomology of the Artin group.

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