%0 Journal Article %T The homology of spaces of polynomials with roots of bounded multiplicity %A Yasuhiko Kamiyama %J Mathematics %D 2009 %I arXiv %R 10.2140/gtm.2008.13.281 %X 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. %U http://arxiv.org/abs/0904.0803v1