Cohomology rings of a class of torus manifolds

S. Sarkar, D. Stanley

Department of Mathematics and Statistics, University of Regina, Regina, Canada

Abstract: Torus manifolds are topological generalization of smooth projective toric manifolds. We compute the rational cohomology ring of a class of locally standard torus manifolds whose orbit space may have proper non-acyclic faces. References: 15 entries.

Key words and phrases: polytopes, torus action, torus manifold, (equivariant) connected sum, homology groups, cohomology ring.

UDC: 515.146.34

MSC: 55N99, 57R99, 52B05

Received: 07.12.2018
Revised: 17.07.2019

Language: English

 English version: Transactions of the Moscow Mathematical Society, 2020, 81:1, 71–86

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