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arXiv · 1706.03240

Example of C-rigid polytopes which are not B-rigid

Suyoung Choi·Kyoungsuk Park
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Abstract

A simple polytope $P$ is said to be \emph{B-rigid} if its combinatorial structure is characterized by its Tor-algebra, and is said to be \emph{C-rigid} if its combinatorial structure is characterized by the cohomology ring of a quasitoric manifold over $P$. It is known that a B-rigid simple polytope is C-rigid. In this paper, we, further, show that the B-rigidity is not equivalent to the C-rigidity.

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Suyoung Choi, Kyoungsuk Park. 2017-06-10. Example of C-rigid polytopes which are not B-rigid. https://arxiv.org/abs/1706.03240

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