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 {Lₙ: n ∈ ℕ ∪ {0}}, where Lₙ is an arbitrary link consisting of n projective lines for n > 0, and L₀ is an affine unknot.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm184-0-14,
author = {Maciej Mroczkowski},
title = {Polynomial invariants of links in the projective space},
journal = {Fundamenta Mathematicae},
volume = {184},
year = {2004},
pages = {223-267},
zbl = {1072.57010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm184-0-14}
}
Maciej Mroczkowski. Polynomial invariants of links in the projective space. Fundamenta Mathematicae, Tome 184 (2004) pp. 223-267. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm184-0-14/