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arxiv: 1712.00691 · v3 · pith:S7C7FGBSnew · submitted 2017-12-03 · 🧮 math.GT · math.QA

Gradation of Algebras of Curves by the Winding Number

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keywords gradingalgebraalgebrasnumberwindingclosedconjecturesconstruct
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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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