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math.AT2016★ 34 cited
Cohomological rigidity of manifolds defined by right-angled 3-dimensional polytopes
Victor Buchstaber, Nikolay Erokhovets, Mikiya Masuda +2
A family of closed manifolds is called cohomologically rigid if a cohomology ring isomorphism implies a diffeomorphism for any two manifolds in the family. We establish cohomologic…
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…