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Presentations of the
Roger–Yang generalized skein algebra
Farhan Azad, Zixi Chen, Matt Dreyer, Ryan Horowitz and Han-Bom Moon |
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Algebraic & Geometric Topology 21 (2021) 3199–3220
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Abstract |
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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 Teichmüller space and generalizes the construction of the Kauffman bracket skein algebra. We also obtain a new interpretation of the homogeneous coordinate ring of the Grassmannian of planes in terms of skein theory. |
Keywords
skein algebra, punctured sphere, ring presentation
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Mathematical Subject Classification
Primary: 57K31
Secondary: 32G15, 57M50
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References |
Publication
Received: 21 July 2020
Revised: 13 December 2020
Accepted: 31 December 2020
Published: 22 November 2021
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Authors |
| Farhan Azad | |
| Department of Mathematics Fordham University New York, NY United States |
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| Zixi Chen | |
| Department of Mathematics Fordham University New York, NY United States |
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| Matt Dreyer | |
| Department of Mathematics Cornell University Ithaca, NY United States |
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| Ryan Horowitz | |
| Department of Mathematics New York University New York, NY United States |
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| Han-Bom Moon | |
| Department of Mathematics Fordham University New York, NY United States |
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