The homology of spaces of polynomials with roots of bounded multiplicity

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.

This is the version published by Geometry & Topology Monographs on 25 February 2008

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