Presentations of the Roger-Yang generalized skein algebra

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

doi:10.2140/agt.2021.21.3199

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arXiv · 2007.11160

Presentations of the Roger-Yang generalized skein algebra

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

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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.

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Farhan Azad, Zixi Chen, Matt Dreyer, Ryan Horowitz, Han-Bom Moon. 2020-07-22. Presentations of the Roger-Yang generalized skein algebra. https://doi.org/10.2140/agt.2021.21.3199

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