Polynomial invariants of links in the projective space
Volume 184 / 2004
Fundamenta Mathematicae 184 (2004), 223-267
MSC: Primary 57M27.
DOI: 10.4064/fm184-0-14
Abstract
The Homflypt and Kauffman skein modules of the projective space are computed. Both are free and generated by some infinite set of links. This set may be chosen to be $\{ L_n: n \in \mathbb N \cup \{ 0\}\}$, where $L_n$ is an arbitrary link consisting of $n$ projective lines for $n>0$, and $L_0$ is an affine unknot.