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math.GT2017
Gradation of Algebras of Curves by the Winding Number
Mohamed Imad Bakhira, Benjamin Cooper
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…
math.SG2017★ 2 cited
The Hall Algebras of Surfaces I
Benjamin Cooper, Peter Samuelson
We study the derived Hall algebra of the partially wrapped Fukaya category of a surface. We give an explicit description of the Hall algebra for the disk with m marked intervals an…