Geodesic
Cohomology rings of a class of torus manifolds
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 1, pp. 87-104

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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. 
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     title = {Cohomology rings of a class of torus manifolds},
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S. Sarkar; D. Stanley. Cohomology rings of a class of torus manifolds. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 81 (2020) no. 1, pp. 87-104. http://geodesic.mathdoc.fr/item/MMO_2020_81_1_a2/