Gradation of Algebras of Curves by the Winding Number
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
- Publication:
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arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1712.00691
- arXiv:
- arXiv:1712.00691
- Bibcode:
- 2017arXiv171200691I
- Keywords:
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- Mathematics - Geometric Topology;
- Mathematics - Quantum Algebra
- E-Print:
- Changed acknowledgments and Definition 2.4