Hostname: page-component-848d4c4894-m9kch Total loading time: 0 Render date: 2024-06-04T17:41:37.985Z Has data issue: false hasContentIssue false
  • English
  • Français

On a Conjecture of Goresky, Kottwitz and MacPherson

Published online by Cambridge University Press:  20 November 2018

C. Allday  and
V. Puppe
C. Allday
Affiliation:
Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822, USA email: chris@math.hawaii.edu
V. Puppe
Affiliation:
Fakultät für Mathematik und Informatik, Universität Konstanz, D-78457 Konstanz, Germany email: Volker.Puppe@uni-konstanz.de
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We settle a conjecture of Goresky, Kottwitz and MacPherson related to Koszul duality, i.e., to the correspondence between differential graded modules over the exterior algebra and those over the symmetric algebra.

Keywords

13D2518E3018G3555U15Koszul dualityHirsch-Brown model
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 1 , 01 February 1999 , pp. 3 - 9
Copyright
Copyright © Canadian Mathematical Society 1999

References

[AP] Allday, C. and Puppe, V., Cohomological Methods in Transformation Groups. Cambridge University Press, Cambridge, 1993.Google Scholar
[CS] Chang, T. and Skjelbred, T., The topological Schur lemma and related results. Ann. Math. 100 (1974), 307–321.Google Scholar
[tD] tom Dieck, T., Transformation Groups. de Gruyter Stud. Math. 8 , de Gruyter, Berlin-New York, 1987.Google Scholar
[GKM] Goresky, M., Kottwitz, R. and Mac Pherson, R., Equivariant cohomology, Koszul duality, and the localization theorem. Invent. Math. 131 (1998), 25–84.Google Scholar
[McC] Mc Cleary, J., User's Guide to Spectral Sequences. Math. Lecture Ser. 12 , Publish or Perish, Wilmington, 1985.Google Scholar