Cohomology rings of Artin groups
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 1, pp. 41-65
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In this paper integer cohomology rings of Artin groups associated with exceptional groups are determined. Computations have been carried out by using an effective method for calculation of cup product in cellular cohomology which we introduce here. Actually, our method works in general for any finite regular complex with identifications, the regular complex being geometrically realized by a compact orientable manifold, possibly with boundary.
@article{RLIN_2000_9_11_1_a5,
author = {Landi, Claudia},
title = {Cohomology rings of {Artin} groups},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {41--65},
publisher = {mathdoc},
volume = {Ser. 9, 11},
number = {1},
year = {2000},
zbl = {0966.55012},
mrnumber = {MR1797053},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_1_a5/}
}
TY - JOUR AU - Landi, Claudia TI - Cohomology rings of Artin groups JO - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni PY - 2000 SP - 41 EP - 65 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_1_a5/ LA - en ID - RLIN_2000_9_11_1_a5 ER -
Landi, Claudia. Cohomology rings of Artin groups. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 1, pp. 41-65. http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_1_a5/