34 citations · 79 across the 18 of their papers we have counts for
11 papers · 1 filter
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.
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…
Poincaré's polyhedron theorem for cocompact groups in dimension 4
Sasha Anan'in, Carlos H. Grossi, Júlio C. C. da Silva
We prove a version of Poincaré's polyhedron theorem whose requirements are as local as possible. New techniques such as the use of discrete groupoids of isometries are introduced.…
On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
Sasha Anan'in
We indicate a C-Fuchsian counter-example to the result with the above title announced at http://www.maths.dur.ac.uk/events/Meetings/LMS/2011/GAL11/program.pdf and prove a stronger…