34 citations · 79 across the 18 of their papers we have counts for
18 papers
A note on lattice knots
Sasha Anan'in, Alexandre Grishkov, Dmitrii Korshunov
The aim of this note is to share the observation that the set of elementary operations of Turing on lattice knots can be reduced to just one type of simple local switches.
Moduli spaces of polygons and deformations of polyhedra with boundary
Sasha Anan'in, Dmitrii Korshunov
We prove a conjecture of Ian Agol: all isometric realizations of a polyhedral surface with boundary sweep out an isotropic subset in the Kapovich-Millson moduli space of polygons i…
Hyperbolic 2-spheres with cone singularities
Sasha Anan'in, Carlos H. Grossi, Jaejeong Lee +1
We study the space of hyperbolic 2-spheres with cone points of prescribed apex curvatures and some related spaces. For ,…
A couple of real hyperbolic disc bundles over surfaces
Sasha Anan'in, Philipy V. Chiovetto
Applying the techniques developed in [AGG], we construct new real hyperbolic manifolds whose underlying topology is that of a disc bundle over a closed orientable surface. By the G…
Complex hyperbolic equidistant loci
Sasha Anan'in
We describe and study the loci equidistant from finitely many points in the so-called complex hyperbolic geometry, i.e., in the geometry of a holomorphic -ball . In part…
Reflections, bendings, and pentagons
Sasha Anan'in
We study relations between reflections in (positive or negative) points in the complex hyperbolic plane. It is easy to see that the reflections in the points q_1,q_2 obtained from…