Presentations of the Roger-Yang generalized skein algebra

Farhan Azad, Zixi Chen, Matt Dreyer, Ryan Horowitz, Han-Bom Moon

Published 2020-07-22Version 1

We describe presentations of the Roger-Yang generalized skein algebras for punctured spheres with an arbitrary number of punctures. This skein algebra is a quantization of the decorated Teichmuller space and generalizes the construction of the Kauffman bracket skein algebra. In this paper, we also obtain a new interpretation of the homogeneous coordinate ring of the Grassmannian of planes in terms of skein theory.