Nov 25, 2021
The skein algebra of the 4-punctured sphere from curve counting
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date: November 25, 2021 |
2:00 pm –
Speaker: Pierrick Bousseau, ETH Zürich
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.