The skein algebra of the 4-punctured sphere from curve counting
Pierrick Bousseau
25-Nov-2021, 13:00-15:00 (2 years ago)
Abstract: The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the SL_2 character of a topological surface. I will explain how to realize the skein algebra of the 4-punctured sphere as the output of a mirror symmetry construction based on higher genus Gromov-Witten invariants of a log Calabi-Yau cubic surface. This leads to the proof of a previously conjectured positivity property of the bracelets bases of the skein algebras of the 4-punctured sphere and of the 1-punctured torus.
algebraic geometrynumber theory
Audience: researchers in the topic
Algebraic Geometry and Number Theory seminar - ISTA
Organizers: | Tamas Hausel*, Tim Browning* |
*contact for this listing |
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