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On a Conjecture of Goresky, Kottwitz and MacPherson

Published online by Cambridge University Press:  20 November 2018

C. Allday
Affiliation:
Department of Mathematics, University of Hawaii, Honolulu, Hawaii 96822, USA email: [email protected]
V. Puppe
Affiliation:
Fakultät für Mathematik und Informatik, Universität Konstanz, D-78457 Konstanz, Germany email: [email protected]
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Abstract

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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.

Type
Research Article
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), 307321.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), 2584.Google Scholar
[McC] Mc Cleary, J., User's Guide to Spectral Sequences. Math. Lecture Ser. 12 , Publish or Perish, Wilmington, 1985.Google Scholar