The homology of spaces of polynomials with roots of bounded multiplicity

Details The homology of spaces of polynomials with roots of bounded multiplicity The homology of spaces of polynomials with roots of bounded multiplicity

2009-04-05

arxiv.org/abs/0904.0803v1

Geom. Topol. Monogr. 13 (2008) 281-291

Mathematics

Algebraic Topology

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

Scientific paper

10.2140/gtm.2008.13.281

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.

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