Abstract
For any we define an isotopy invariant, for a certain set of –valent ribbon graphs in including all framed oriented links. We show that our bracket coincides with the Kauffman bracket for and with the Kuperberg’s bracket for Furthermore, we prove that for any our bracket of a link is equal, up to normalization, to the –quantum invariant of We show a number of properties of our bracket extending those of the Kauffman’s and Kuperberg’s brackets, and we relate it to the bracket of Murakami-Ohtsuki-Yamada. Finally, on the basis of the skein relations satisfied by we define the –skein module of any –manifold and we prove that it determines the –character variety of
Citation
Adam S Sikora. "Skein theory for $SU(n)$–quantum invariants." Algebr. Geom. Topol. 5 (3) 865 - 897, 2005. https://doi.org/10.2140/agt.2005.5.865
Information