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.
The authors would like to thank anonymous referee for many helpful comments
and SERB India for MATRICS grant; MTR/2018/000963/MS. They also thank
Pacific Institute of Mathematical Sciences and University of Regina.
Citation:
S. Sarkar, D. Stanley, “Cohomology rings of a class of torus manifolds”, Tr. Mosk. Mat. Obs., 81, no. 1, MCCME, M., 2020, 87–104; Trans. Moscow Math. Soc., 81:1 (2020), 71–86
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