{ "id": "0904.0803", "version": "v1", "published": "2009-04-05T19:14:06.000Z", "updated": "2009-04-05T19:14:06.000Z", "title": "The homology of spaces of polynomials with roots of bounded multiplicity", "authors": [ "Yasuhiko Kamiyama" ], "comment": "This is the version published by Geometry & Topology Monographs on 25 February 2008", "journal": "Geom. Topol. Monogr. 13 (2008) 281-291", "doi": "10.2140/gtm.2008.13.281", "categories": [ "math.AT" ], "abstract": "Let P_{k, n}^l be the space consisting of monic complex polynomials f(z) of degree k and such that the number of n-fold roots of f(z) is at most l. In this paper, we determine the integral homology groups of P_{k, n}^l.", "revisions": [ { "version": "v1", "updated": "2009-04-05T19:14:06.000Z" } ], "analyses": { "subjects": [ "55P35", "55R20", "58D15" ], "keywords": [ "bounded multiplicity", "monic complex polynomials", "integral homology groups", "n-fold roots" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0904.0803K" } } }