7 citations · 7 across the 2 of their papers we have counts for
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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…
Massey products, toric topology and combinatorics of polytopes
Victor Buchstaber, Ivan Limonchenko
In this paper we introduce a direct family of simple polytopes such that for any , there are non-trivial strictly defined Masse…
Direct families of polytopes with nontrivial Massey products
Victor Buchstaber, Ivan Limonchenko
The problem of existence of nontrivial Massey products in cohomology of a space is well-known in algebraic topology and homological algebra. A number of problems in complex geometr…
Embeddings of moment-angle manifolds and sequences of Massey products
Victor Buchstaber, Ivan Limonchenko
We show that for any face of a simple polytope the canonical equivariant homeomorphisms and …