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math.CO2024
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…
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…