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Presentations of the Roger-Yang generalized skein algebra (2007.11160v2)
Published 22 Jul 2020 in math.GT and math.QA
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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