{ "id": "math/0110190", "version": "v2", "published": "2001-10-17T20:57:15.000Z", "updated": "2001-10-18T23:53:09.000Z", "title": "Calogero-Moser space and Kostka polynomials", "authors": [ "Michael Finkelberg", "Victor Ginzburg" ], "comment": "12pp., LaTeX", "categories": [ "math.RT", "math.AG", "math.QA" ], "abstract": "We consider the canonical map from the Calogero-Moser space to symmetric powers of the affine line, sending conjugacy classes of pairs of n by n matrices to their eigenvalues. We show that the character of a natural C^*-action on the scheme-theoretic zero fiber of this map is given by Kostka polynomials.", "revisions": [ { "version": "v2", "updated": "2001-10-18T23:53:09.000Z" } ], "analyses": { "keywords": [ "kostka polynomials", "calogero-moser space", "scheme-theoretic zero fiber", "sending conjugacy classes", "symmetric powers" ], "note": { "typesetting": "LaTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math.....10190F" } } }