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Rational homology of spaces of complex monic polynomials with multiple roots

Part of: Theory of singularities and catastrophe theory

Published online by Cambridge University Press:  26 February 2010

Dmitry N. Kozlov
Dmitry N. Kozlov
Affiliation:
Institute for Advanced Study, Olden Lane, Princeton, NJ 08540, U.S.A.
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Abstract

This paper treats rational homology groups of one-point compactifications of spaces of complex monic polynomials with multiple roots. These spaces are indexed by number partitions. A standard reformulation in terms of quotients of orbit arrangements reduces the problem to studying certain triangulated spaces Xλ,μ.

MSC classification

Secondary: 58K15: Topological properties of mappings
Type
Research Article
Information
Mathematika , Volume 49 , Issue 1-2 , June 2002 , pp. 77 - 91
Copyright
Copyright © University College London 2002

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