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Rational homology of spaces of complex monic polynomials with multiple roots
Author(s) -
Kozlov Dmitry N.
Publication year - 2002
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300016089
Subject(s) - mathematics , monic polynomial , quotient , homology (biology) , pure mathematics , singular homology , discrete mathematics , polynomial , mathematical analysis , cohomology , biochemistry , chemistry , gene
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 X λ,μ .
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