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Trudy Moskovskogo Matematicheskogo Obshchestva, 2020, Volume 81, Issue 1, Pages 87–104 (Mi mmo635)  
Cohomology rings of a class of torus manifolds

S. Sarkar, D. Stanley

Department of Mathematics and Statistics, University of Regina, Regina, Canada
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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.
Funding agency Grant number
Science and Engineering Research Board MTR/2018/000963/MS
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.
Received: 07.12.2018
Revised: 17.07.2019
English version:
Transactions of the Moscow Mathematical Society, 2020, Volume 81, Issue 1, Pages 71–86
DOI: https://doi.org/10.1090/mosc/303
Bibliographic databases:
Document Type: Article
UDC: 515.146.34
MSC: 55N99, 57R99, 52B05
Language: English
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
Citation in format AMSBIB
\Bibitem{SarSta20}
\by S.~Sarkar, D.~Stanley
\paper Cohomology rings of a class of torus manifolds
\serial Tr. Mosk. Mat. Obs.
\yr 2020
\vol 81
\issue 1
\pages 87--104
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo635}
\elib{https://elibrary.ru/item.asp?id=45968779}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2020
\vol 81
\issue 1
\pages 71--86
\crossref{https://doi.org/10.1090/mosc/303}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85103219959}
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