Rational homology of spaces of complex monic polynomials with multiple roots

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dc.creatorKozlov, Dmitry N.
dc.date2001-11-14
dc.date.accessioned2026-07-07T04:44:35Z
dc.date.available2026-07-07T04:44:35Z
dc.descriptionWe 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 standard reformulation in terms of quotients of orbit arrangements reduces the problem to studying certain triangulated spaces $X_{λ,μ}$. We present a combinatorial description of the cell structure of $X_{λ,μ}$ using the language of marked forests. As applications we obtain a new proof of a theorem of Arnold and a counterexample to a conjecture of Sundaram and Welker, along with a few other smaller results.
dc.identifierhttps://arxiv.org/abs/math/0111167
dc.identifierhttp://arxiv.org/abs/math/0111167
dc.identifierMathematika 49 (2002), no. 1-2, 77--91 (2004).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62651
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.subject32S20; 05E15, 32S60, 58K15
dc.titleRational homology of spaces of complex monic polynomials with multiple roots
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