ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS

doi:10.1007/s10473-022-0602-1

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (6): 2204-2222.doi: 10.1007/s10473-022-0602-1

ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS

Zhi Lü, Song ZHANG

School of Mathematical Sciences, Fudan University, Shanghai 200433, China

收稿日期:2022-05-17 修回日期:2022-07-24 出版日期:2022-12-25 发布日期:2022-12-16
通讯作者: Zhi Lü, E-mail: zlu@fudan.edu.cn E-mail:zlu@fudan.edu.cn
基金资助:
Partially supported by the NSFC (11971112), and China Scholarship Council (202106100095).

ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS

Zhi Lü, Song ZHANG

School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Received:2022-05-17 Revised:2022-07-24 Online:2022-12-25 Published:2022-12-16
Contact: Zhi Lü, E-mail: zlu@fudan.edu.cn E-mail:zlu@fudan.edu.cn
Supported by:
Partially supported by the NSFC (11971112), and China Scholarship Council (202106100095).

摘要/Abstract

摘要： The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m-gon explicitly in terms of the quotient of an exterior algebra, and to count the Betti numbers of the cohomology groups of a special class of quotients of moment-angle manifolds.

关键词: moment-angle manifold, spectral sequence, cohomology ring, Betti number

Abstract: The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m-gon explicitly in terms of the quotient of an exterior algebra, and to count the Betti numbers of the cohomology groups of a special class of quotients of moment-angle manifolds.

Key words: moment-angle manifold, spectral sequence, cohomology ring, Betti number

中图分类号:

55T10

Zhi Lü, Song ZHANG. ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS[J]. 数学物理学报(英文版), 2022, 42(6): 2204-2222.

Zhi Lü, Song ZHANG. ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS[J]. Acta mathematica scientia,Series B, 2022, 42(6): 2204-2222.

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ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS

ON THE (CO)HOMOLOGY OF (QUOTIENTS OF) MOMENT-ANGLE MANIFOLDS OVER POLYGONS

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