Abstract

We prove that, in order to derive the HOMFLYPT skein module of the lens spaces [Formula: see text] from the HOMFLYPT skein module of the solid torus, [Formula: see text], it suffices to solve an infinite system of equations obtained by imposing on the Lambropoulou invariant [Formula: see text] for knots and links in the solid torus, braid band moves that are performed only on the first moving strand of elements in a set [Formula: see text], augmenting the basis [Formula: see text] of [Formula: see text].

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call