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The homology of spaces of polynomials with roots of bounded
multiplicity
Yasuhiko Kamiyama
Geometry & Topology Monographs 13
(2008) 281–291
Abstract
Let Pl k,n 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 Pl k,n .
Keywords
polynomial, loop space, integral
homology
Mathematical Subject Classification
Primary: 55P35
Secondary: 55R20, 58D15
Publication
Received: 5 June 2006
Revised: 20 February 2007
Accepted: 27 February 2007
Published: 25 February 2008