The homology of spaces of polynomials with roots of bounded multiplicity
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Publication:5457891
zbMATH Open1139.55004arXiv0904.0803MaRDI QIDQ5457891
Publication date: 9 April 2008
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.
Full work available at URL: https://arxiv.org/abs/0904.0803
Loop spaces (55P35) Manifolds of mappings (58D15) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)
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