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In: Mathematica Slovaca, vol. 69, no. 2
Suyoung Choi - Kyoungsuk Park

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

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Year, pages: 2019, 437 - 448
Keywords: cohomologically rigid, B-rigid, quasitoric manifold, simple polytope, Peterson graph

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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 show that the B-rigidity is not equivalent to the C-rigidity.

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ISO 690:
Choi, S., Park, K. 2019. Example of C-rigid polytopes which are not B-rigid. In Mathematica Slovaca, vol. 69, no.2, pp. 437-448. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0236

APA:
Choi, S., Park, K. (2019). Example of C-rigid polytopes which are not B-rigid. Mathematica Slovaca, 69(2), 437-448. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0236

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Published: 27. 3. 2019