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}
}
  • Suyoung Choi, Taras E. Panov, Dong Youp Suh
  • Published 2010
  • Mathematics
  • 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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