1 citations · 1 across the 4 of their papers we have counts for
6 papers
An analogue of Turaev comultiplication for knots in non-orientable thickening of a non-orientable surface
Vladimir Tarkaev
This paper concerns pseudo-classical knots in the non-orientable manifold , where is a non-orientable surface and a knot is called pseud…
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…
Homological Casson type invariant of knotoids
Vladimir Tarkaev
We consider an analogue of well-known Casson knot invariant for knotoids. We start with a direct analogue of the classical construction which gives two different integer-valued kno…
A relation between the crossing number and the height of a knotoid
Philipp Korablev, Vladimir Tarkaev
Knotoids are open ended knot diagrams regarded up to Reidemeister moves and isotopies. The notion is introduced by V.~Turaev in 2012. Two most important numeric characteristics of…
Dijkgraaf-Witten -invariants for Seifert manifolds
Simon King, Sergei Matveev, Vladimir Tarkaev +1
In this short paper we compute the values of Dijkgraaf-Witten invariants over for all orientable Seifert manifolds with orientable bases.