Биградуированные Числа Бетти Некоторых Простых Многогранников

Limonchenko, Ivan; Limonchenko, Ivan Yur'evich

doi:10.4213/mzm9144

Matematicheskie Zametki

2013

DOI: 10.4213/mzm9144

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Биградуированные Числа Бетти Некоторых Простых Многогранников

Ivan Limonchenko¹,

Ivan Yur'evich Limonchenko²

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2014

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Stanley Reisner rings of generalized truncation polytopes and their moment angle manifolds

Limonchenko

2014

Proc. Steklov Inst. Math.

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Abstract. We consider simple polytopes P = vc. . . nr 1, r 1, k 0, that is, k-vertex cuts of a product of simplices, and call them generalized truncation polytopes. For these polytopes we describe the cohomology ring of the corresponding moment-angle manifold ZP and explore some topological consequences of this calculation. We also examine minimal non-Golodness for their Stanley-Reisner rings and relate it to the property of ZP being a connected sum of sphere products.

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Stanley Reisner rings of generalized truncation polytopes and their moment angle manifolds

Limonchenko

2014

Proc. Steklov Inst. Math.

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Биградуированные Числа Бетти Некоторых Простых Многогранников

Cited by 1 publication

References 5 publications

Stanley Reisner rings of generalized truncation polytopes and their moment angle manifolds

Stanley Reisner rings of generalized truncation polytopes and their moment angle manifolds

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