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math.CO2001
Rational homology of spaces of complex monic polynomials with multiple roots
Dmitry N. Kozlov
We study rational homology groups of one-point compactifications of spaces of complex monic polynomials with multiple roots. These spaces are indexed by number partitions. A standa…
math.CO2001
Topology of spaces of hyperbolic polynomials and combinatorics of resonances
Dmitry N. Kozlov
In this paper we study the topology of the strata, indexed by number partitions , in the natural stratification of the space of monic hyperbolic polynomials of degree . We pr…
math.CO2001
A comparison of Vassiliev and Ziegler-Zivaljevic models for homotopy types of subspace arrangements
Dmitry N. Kozlov
In this paper we represent the Vassiliev model for the homotopy type of the one-point compactification of subspace arrangements as a homotopy colimit of an appropriate diagram over…