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math.AT2016★ 2 cited
Fullerenes, Polytopes and Toric Topology
Victor M. Buchstaber, Nickolai Erokhovets
The lectures are devoted to a remarkable class of -dimensional polytopes, which are mathematical models of the important object of quantum physics, quantum chemistry and nanotec…
math.AT2012★ 7 cited
Criterion for the Buchstaber invariant of simplicial complexes to be equal to two
Nickolai Erokhovets
In this paper we study the Buchstaber invariant of simplicial complexes, which comes from toric topology. With each simplicial complex on vertices we can associate a moment…
math.AT2009★ 6 cited
Buchstaber Invariant of Simple Polytopes
Nickolai Erokhovets
In this paper we study a new combinatorial invariant of simple polytopes, which comes from toric topology. With each simple n-polytope P with m facets we can associate a moment-ang…