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Fullerenes, Polytopes and Toric Topology

2016/09/09 by Victor Matveevich Buchstaber, Buchstaber, Victor M., Н.Ю. Ероховец +1
Chemistry · Mathematics · #52B10 #55Nxx #57N65 #57S20 #90C57 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Fullerene Chemistry and Applications #Graph theory and applications #History and advancements in chemistry

paper · pdf · doi:10.48550/arxiv.1609.02949

openalex publication_date 2016/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The lectures are devoted to a remarkable class of 3-dimensional polytopes, which are mathematical models of the important object of quantum physics, quantum chemistry and nanotechnology -- fullerenes. The main goal is to show how results of toric topology help to build combinatorial invariants of fullerenes. Main notions are introduced during the lectures. The lecture notes are addressed to a wide audience.

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