3 papers
math.CO2026
Neighborly Murai spheres and the Simplicial Steinitz Problem
Ivan Limonchenko, AleÅ¡ VavpetiÄ
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 …
math.AT2026
On a class of toric manifolds arising from simplicial complexes
Ivan Limonchenko, Marinko TimotijeviÄ, Rade ŽivaljeviÄ
Given an arbitrary abstract simplicial complex on , different from the simplex with vertices, we introduce and study a canonical …
math.AT2024
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…