Arithmetic properties of the cohomology of Artin groups

Corrado De Concini; Claudio Procesi; Mario Salvetti; Fabio Stumbo

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1999)

  • Volume: 28, Issue: 4, page 695-717
  • ISSN: 0391-173X

How to cite

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De Concini, Corrado, et al. "Arithmetic properties of the cohomology of Artin groups." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 28.4 (1999): 695-717. <http://eudml.org/doc/84394>.

@article{DeConcini1999,
author = {De Concini, Corrado, Procesi, Claudio, Salvetti, Mario, Stumbo, Fabio},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {spherical Dynkin diagrams; generalized braid groups; classifying spaces; Tits buildings; Coxeter groups; cohomology groups},
language = {eng},
number = {4},
pages = {695-717},
publisher = {Scuola normale superiore},
title = {Arithmetic properties of the cohomology of Artin groups},
url = {http://eudml.org/doc/84394},
volume = {28},
year = {1999},
}

TY - JOUR
AU - De Concini, Corrado
AU - Procesi, Claudio
AU - Salvetti, Mario
AU - Stumbo, Fabio
TI - Arithmetic properties of the cohomology of Artin groups
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1999
PB - Scuola normale superiore
VL - 28
IS - 4
SP - 695
EP - 717
LA - eng
KW - spherical Dynkin diagrams; generalized braid groups; classifying spaces; Tits buildings; Coxeter groups; cohomology groups
UR - http://eudml.org/doc/84394
ER -

References

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  1. [Bo] N. Bourbaki, "Groupes et algebres de Lie" (chap. 4,5,6), Masson, Paris, 1981 Zbl0483.22001MR647314
  2. [Br] E. Brieskorn, Sur les groupes de tresses, Sem. Bourbaki, Lec. Notes in Math.317 (1973), 21-44. Zbl0277.55003MR422674
  3. [De] P. Deligne, Les immeubles des groupes de tresses generalizes, Invent. Math.17 (1972), 273-302. Zbl0238.20034MR422673
  4. [DPS] C. De Concini — C. Procesi — M. Salvetti, Arithmetic properties of the cohomology of braid groups, to appear in Topology. Zbl0999.20046MR1851561
  5. [DS] C. De Concini — M. Salvetti, Cohomology of Artin groups, Math. Res. Lett.3 (1996), 293-297. Zbl0870.57004MR1386847
  6. [DS1] C. De Concini — M. Salvetti, Stability for the ohomology of Artin Groups, to appear in Adv. Math. Zbl0982.20036
  7. [DSS] C. De Concini — M. Salvetti — F. Stumbo, The top ohomology of Artin groups with coefficients in rank 1 local systems over Z, Topology Appl.78 (1997), 5-20. Zbl0878.55003MR1465022
  8. [G] V.V. Goryunov, Cohomologies of groups of braid of series C and D and certain stratifications, Funktsional. Anal. i Prilozhen.12,2 (1978), 138-140. Zbl0409.20032MR498905
  9. [S] M. Salvetti, The homotopy type of Artin groups, Math. Res. Lett.1 (1994), 565-577. Zbl0847.55011MR1295551

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