8 citations · 19 across the 7 of their papers we have counts for
7 papers
Hyperelliptic four-manifolds defined by vector-colorings of simple polytopes
Nikolai Erokhovets
Toric topology assigns to each simple convex -polytope with facets an -dimensional real moment angle manifold with a canonical action of $\mathbb Z_2^m…
Manifolds realized as orbit spaces of non-free -actions on real moment-angle manifolds
Nikolai Erokhovets
We consider (non-necessarily free) actions of subgroups on the real moment-angle manifold corresponding to a simple convex pol…
Canonical geometrization of orientable -manifolds defined by vector-colourings of -polytopes
Nikolai Erokhovets
In short geometrization conjecture of W.\,Thurston (finally proved by G.~Perelman) says that any oriented -manifold can be canonically partitioned into pieces, which have a geom…
-rigidity of ideal almost Pogorelov polytopes
Nikolai Erokhovets
Toric topology assigns to each -dimensional combinatorial simple convex polytope with facets an -dimensional moment-angle manifold with an action…
-rigidity of the property to be an almost Pogorelov polytope
Nikolai Erokhovets
Toric topology assigns to each -dimensional combinatorial simple convex polytope with facets an -dimensional moment-angle manifold with an action…
Graph-truncations of -polytopes
Nikolai Erokhovets
In this paper we study the operation of cutting off edges of a simple -polytope along the graph . We give the criterion when the resulting polytope is simple and when it…
Polytopes, Hopf algebras and Quasi-symmetric functions
Victor M. Buchstaber, Nickolai Erokhovets
In this paper we use the technique of Hopf algebras and quasi-symmetric functions to study the combinatorial polytopes. Consider the free abelian group generated by a…