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math.AT2022
Generalized virtual polytopes and quasitoric manifolds
Askold Khovanskii, Ivan Limonchenko, Leonid Monin
In this paper we develop a theory of volume polynomials of generalized virtual polytopes based on the study of topology of affine subspace arrangements in a real Euclidean space. W…
math.AT2022★ 1 cited
On the homotopy decomposition for the quotient of a moment-angle complex and its applications
Ivan Limonchenko, Grigory Solomadin
In this paper we prove that the quotient of any real or complex moment-angle complex by any closed subgroup in the naturally acting compact torus on it is equivariantly homotopy eq…