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Purity of equivalued affine Springer fibers
Author(s):
Mark
Goresky;
Robert
Kottwitz;
Robert
MacPherson
Journal:
Represent. Theory
10
(2006),
130-146.
MSC (2000):
Primary 22E67;
Secondary 22E35
Posted:
February 20, 2006
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Additional information
Abstract:
The affine Springer fiber corresponding to a regular integral equivalued semisimple element admits a paving by vector bundles over Hessenberg varieties and hence its homology is ``pure".
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Additional Information:
Mark
Goresky
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
Robert
Kottwitz
Affiliation:
Department of Mathematics, University of Chicago, 5734 University Ave., Chicago, Illinois 60637
Robert
MacPherson
Affiliation:
School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540
DOI:
10.1090/S1088-4165-06-00200-7
PII:
S 1088-4165(06)00200-7
Received by editor(s):
July 3, 2003
Received by editor(s) in revised form:
October 19, 2005
Posted:
February 20, 2006
Additional Notes:
The research of M. G. was supported in part by N. S. F. grant DMS-0139986 and DARPA grant HR0011-04-1-0031
The research of R. K. was supported in part by N. S. F. grants DMS-0071971 and DMS-0245639.
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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