14 citations · 47 across the 15 of their papers we have counts for
15 papers
Neighborly Murai spheres and the Simplicial Steinitz Problem
Ivan Limonchenko, Aleš Vavpetič
We provide a classification of neighborly Murai spheres, which implies that all of them are polytopal. Furthermore, we show that each neighborly -sphere with no more than …
On a class of toric manifolds arising from simplicial complexes
Ivan Limonchenko, Marinko Timotijević, Rade Živaljević
Given an arbitrary abstract simplicial complex on , different from the simplex with vertices, we introduce and study a canonical -…
Simplicial vs. cubical spheres, polyhedral products and the Nevo-Petersen conjecture
Ivan Limonchenko, Rade Živaljević
We prove that a Murai sphere is flag if and only if it is a nerve complex of a flag nestohedron and classify all the polytopes arising in this way. Our classification implies that…
Bier spheres and toric topology
Ivan Limonchenko, Matvey Sergeev
We compute the real and complex Buchstaber numbers of an arbitrary Bier sphere. In dimension two, we identify all the 13 different combinatorial types of Bier spheres and show that…
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…
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…