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

Example of C-rigid polytopes which are not B-rigid
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非 B 刚性的 C 刚性多胞体示例

DOI:
10.1515/ms-2017-0236
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发表时间:
2017
影响因子:
1.6
通讯作者:
K. Park
K. Park
中科院分区:
数学4区
文献类型:
--
作者:
Suyoung Choi;K. Park

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一个单多胞形P,如果它的组合结构用它的Tor-algebra来刻画,则称它是B-刚性的;如果它的组合结构用P上拟素流形的上同调环来刻画,则称它是C-刚性的。本文证明了B-刚性不等价于C-刚性。
Abstract A simple polytope P is said to be B-rigid if its combinatorial structure is characterized by its Tor-algebra, and is said to be 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.
简单多面体的环面上同调刚度
DOI: --
发表时间: 2010
期刊: J.London Math.Soc
影响因子: --
作者:
S.Choi;T.Panov;D.Y.Suh
通讯作者: D.Y.Suh