Presentations of the Roger-Yang generalized skein algebra
arXiv:2007.11160 · doi:10.2140/agt.2021.21.3199
Abstract
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.
19 pages, to appear on Algebraic & Geometric Topology