If is an oriented –manifold, let denote the Homflypt skein module of We show that is isomorphic to modulo torsion. In fact, we show that is isomorphic to if we are working over a certain localized ring. We show the similar result holds for relative skein modules. If contains a separating –sphere, we give conditions under which certain relative skein modules of vanish over specified localized rings.
"The Homflypt skein module of a connected sum of 3–manifolds." Algebr. Geom. Topol. 1 (1) 605 - 625, 2001. https://doi.org/10.2140/agt.2001.1.605