Cohomology rings of Artin groups
Landi, Claudia
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 11 (2000), p. 41-65 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

In questo lavoro vengono determinati gli anelli di coomologia intera dei gruppi di Artin associati ai gruppi di Coxeter eccezionali. Una presentazione per tali anelli è ottenuta utilizzando un metodo effettivo, che introduciamo qui, per il calcolo del prodotto cup in coomologia cellulare. In generale mostriamo che tale metodo è applicabile ad ogni complesso cellulare finito e regolare, realizzato geometricamente da una varietà compatta e orientabile, eventualmente con bordo, su cui agisca una famiglia di identificazioni.

Publié le : 2000-03-01
@article{RLIN_2000_9_11_1_41_0,
     author = {Claudia Landi},
     title = {Cohomology rings of Artin groups},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {11},
     year = {2000},
     pages = {41-65},
     zbl = {0966.55012},
     mrnumber = {1797053},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2000_9_11_1_41_0}
}

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, Tome 11 (2000) pp. 41-65. http://gdmltest.u-ga.fr/item/RLIN_2000_9_11_1_41_0/

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