An analogue of Turaev comultiplication for knots in non-orientable
thickening of a non-orientable surface
An analogue of Turaev comultiplication for knots in non-orientable
thickening of a non-orientable surface
This paper concerns pseudo-classical knots in the non-orientable manifold $\hat{\Sigma} =\Sigma \times [0,1]$, where $\Sigma$ is a non-orientable surface and a knot $K \subset \hat{\Sigma}$ is called pseudo-classical if $K$ is orientation-preserving path in $\hat{\Sigma}$. For this kind of knot we introduce an invariant $\Delta$ that is an analogue of …