280 citations
- Institute for Theoretical and Experimental PhysicsRU30 papers
- P.N. Lebedev Physical Institute of the Russian Academy of SciencesRU27 papers
- Institute for Information Transmission ProblemsRU26 papers
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- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU19 papers
- Sobolev Institute of MathematicsRU17 papers
- Institute of AstronomyRU13 papers
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14 papers · 1 filter
A prime decomposition theorem for string links in a thickened surface
Vladimir Tarkaev
We prove a prime decomposition theorem for string links in a thickened surface. Namely, we prove that any non-braid string link , where is a compact ori…
An analog of the {K}auffman bracket polynomial for knots in the non-orientable thickening of a non-orientable surface
Vladimir Tarkaev
We study pseudo-classical knots in the non-orientable thickening of a non-orientable surface, specifically knots that are orientation-preserving paths in a non-orientable -manif…
Additional gradings on generalisations of Khovanov homology and invariants of embedded surfaces
Vassily Olegovich Manturov, William Rushworth
We define additional gradings on two generalisations of Khovanov homology (one due to the first author, the other due to the second), and use them to define invariants of various k…
Minimal 4-colored graphs representing an infinite family of hyperbolic 3-manifolds
P. Cristofori, E. Fominykh, M. Mulazzani +1
The graph complexity of a compact 3-manifold is defined as the minimum order among all 4-colored graphs representing it. Exact calculations of graph complexity have been already pe…
On Gehring-Martin-Tan groups with an elliptic generator
Andrei Yu. Vesnin, Dušan D. Repovš
The Gehring-Martin-Tan inequality for 2-generator subgroups of PSL(2,C) is one of the best known discreteness conditions. A Kleinian group is called a Gehring-Martin-Tan group…
4-colored graphs and knot/link complements
P. Cristofori, E. Fominykh, M. Mulazzani +1
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs (i.e., 4-regular graphs endowed with a proper edge-coloration with four colors)…