Cohomology rings of Artin groups

Claudia Landi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2000)

  • Volume: 11, Issue: 1, page 41-65
  • ISSN: 1120-6330

Abstract

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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.

How to cite

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Landi, Claudia. "Cohomology rings of Artin groups." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 11.1 (2000): 41-65. <http://eudml.org/doc/252384>.

@article{Landi2000,
abstract = {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.},
author = {Landi, Claudia},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Artin group; Cup product; Regular complex; Identification; Dual block decomposition},
language = {eng},
month = {3},
number = {1},
pages = {41-65},
publisher = {Accademia Nazionale dei Lincei},
title = {Cohomology rings of Artin groups},
url = {http://eudml.org/doc/252384},
volume = {11},
year = {2000},
}

TY - JOUR
AU - Landi, Claudia
TI - Cohomology rings of Artin groups
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2000/3//
PB - Accademia Nazionale dei Lincei
VL - 11
IS - 1
SP - 41
EP - 65
AB - 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.
LA - eng
KW - Artin group; Cup product; Regular complex; Identification; Dual block decomposition
UR - http://eudml.org/doc/252384
ER -

References

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