Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (6): 2204-2222.doi: 10.1007/s10473-022-0602-1

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

Zhi Lü, Song ZHANG   

  1. 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).

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

CLC Number: 

  • 55T10
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