# Toric cohomological rigidity of simple convex polytopes

@inproceedings{Choi2010ToricCR, title={Toric cohomological rigidity of simple convex polytopes}, author={Suyoung Choi and Taras E. Panov and Dong Youp Suh}, year={2010} }

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… CONTINUE READING

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