Toric cohomological rigidity of simple convex polytopes

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A simple convex polytope P is cohomologically rigid if its combinatorial structure is determined by the cohomology ring of a quasitoric manifold over P. Not every P has this property, but some important polytopes such as simplices or cubes are known to be cohomologically rigid. In this paper we investigate the cohomological rigidity of polytopes and establish it for several new classes of polytopes, including products of simplices. The cohomological rigidity of P is related to the bigraded Betti numbers of its Stanley-Reisner ring, another important invariant coming from combinatorial commutative algebra.
Publisher
OXFORD UNIV PRESS
Issue Date
2010-10
Language
English
Article Type
Article
Keywords

BOTT TOWERS

Citation

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v.82, pp.343 - 360

ISSN
0024-6107
DOI
10.1112/jlms/jdq022
URI
http://hdl.handle.net/10203/98485
Appears in Collection
MA-Journal Papers(저널논문)
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