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Calogero-Moser Space and Kostka Polynomials

โœ Scribed by Michael Finkelberg; Victor Ginzburg


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
181 KB
Volume
172
Category
Article
ISSN
0001-8708

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โœฆ Synopsis


We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n ร‚ n-matrices to their eigenvalues. We show that the character of a natural C n -action on the schemetheoretic zero fiber of this map is given by Kostka polynomials. A similar result is proved for a cyclic version of the Calogero-Moser space.


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