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math.GT2022★ 1 cited
Consequences of the compatibility of skein algebra and cluster algebra on surfaces
Han-Bom Moon, Helen Wong
We investigate two algebra of curves on a topological surface with punctures - the cluster algebra of surfaces defined by Fomin, Shapiro, and Thurston, and the generalized skein al…
math.GT2020★ 2 cited
Presentations of the Roger-Yang generalized skein algebra
Farhan Azad, Zixi Chen, Matt Dreyer +2
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 deco…
math.GT2019
The Roger-Yang skein algebra and the decorated Teichmuller space
Han-Bom Moon, Helen Wong
Based on hyperbolic geometric considerations, Roger and Yang introduced an extension of the Kauffman bracket skein algebra that includes arcs. In particular, their skein algebra is…