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• W3103594878 abstract "A simple convex polytope $P$ is emph{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 article we investigate the cohomological rigidity of polytopes and establish it for several new classes of polytopes including products of simplices. Cohomological rigidity of $P$ is related to the emph{bigraded Betti numbers} of its emph{Stanley--Reisner ring}, another important invariants coming from combinatorial commutative algebra." @default.
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• W3103594878 date "2010-07-08" @default.
• W3103594878 modified "2023-10-18" @default.
• W3103594878 title "Toric cohomological rigidity of simple convex polytopes" @default.
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• W3103594878 doi "https://doi.org/10.1112/jlms/jdq022" @default.
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