Gradation of Algebras of Curves by the Winding Number

Published 3 Dec 2017 in math.GT and math.QA | (1712.00691v3)

Abstract: We construct a new grading on the Goldman Lie algebra of a closed oriented surface by the winding number. This grading induces a grading on the HOMFLY-PT skein algebra and related algebras. Our work supports the conjectures of B. Cooper and P. Samuelson

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