17 citations · 17 across the 1 of their papers we have counts for
3 papers
On the Origin of Crystallinity: a Lower Bound for the Regularity Radius of Delone Sets
Igor A. Baburin, Mikhail Bouniaev, Nikolay Dolbilin +4
The local theory of regular or multi-regular systems aims at finding sufficient local conditions for a Delone set to be a regular or multi-regular system. One of the main goals…
Finite sets of operations sufficient to construct any fullerene from
Victor M. Buchstaber, Nikolay Erokhovets
We study the well-known problem of combinatorial classification of fullerenes. By a (mathematical) fullerene we mean a convex simple three dimensional polytope with all facets pent…
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…