The second Yang-Baxter homology for the Homflypt polynomial

Abstract: Vaughan Jones constructed Yang-Baxter operators yielding the Jones and Homflypt polynomials. We adjust these Yang-Baxter operators constructed by Jones so the homology theory given by Victoria Lebed and the speaker could be used. Then we compute the second homology for this family of Yang-Baxter operators. It has the potential to yield a 2-cocycle invariant for links. See arXiv:2004.07413 [math.GT]

geometric topology

Audience: researchers in the topic

Knot theory seminar in Warsaw

Series comments: Description: Research seminar on knot theory

The zoom link is available on the seminar webpage.

Meeting ID: 846 2302 8036, Password: the last name of the first-named author of this fundamental paper on knot theory: Holomorphic disks and topological invariants for closed three-manifolds.