In this paper integer cohomology rings of Artin groups associated with exceptional groupsare determined. Computations have been carried out by using an effective method for calculation of cupproduct in cellular cohomology which we introduce here. Actually, our method works in general for anyfinite regular complex with identifications, the regular complex being geometrically realized by a compactorientable manifold, possibly with boundary.
Cohomology rings of Artin groups / Landi, Claudia. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1720-0768. - STAMPA. - 11:1(2000), pp. 41-65.
Cohomology rings of Artin groups
LANDI, Claudia
2000
Abstract
In this paper integer cohomology rings of Artin groups associated with exceptional groupsare determined. Computations have been carried out by using an effective method for calculation of cupproduct in cellular cohomology which we introduce here. Actually, our method works in general for anyfinite regular complex with identifications, the regular complex being geometrically realized by a compactorientable manifold, possibly with boundary.
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