K-theory of Jones polynomials
arXiv:2110.05640 · doi:10.1016/j.geomphys.2022.104678
Abstract
We recover the Jones polynomials of knots and links from the K-theory of a cluster C*-algebra of the sphere with two cusps. In particular, an interplay between the Chebyshev and Jones polynomials is studied.
to appear Journal of Geometry and Physics