Vladimir Tarkaev

collaborators

3 papers

math.GT2024

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 $ℓ \subset I^£ \times I$ , where $I^£$ is a compact o…

math.GT2024

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 $3$ -manif…

math.GT2024

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 $I^^£ = I^£ \times [0, 1]$ , where $I^£$ is a non-orientable surface and a knot $K \subset I^^£$ is called p…