| Autor: |
Bousseau, Pierrick |
| Předmět: |
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| Zdroj: |
Communications in Mathematical Physics; Feb2023, Vol. 398 Issue 1, p1-58, 58p |
| Abstrakt: |
The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the SL 2 character variety of a topological surface. We realize the skein algebra of the 4-punctured sphere as the output of a mirror symmetry construction based on higher genus Gromov–Witten theory and applied to a complex cubic surface. Using this result, we prove the positivity of the structure constants of the bracelets basis for the skein algebras of the 4-punctured sphere and of the 1-punctured torus. This connection between topology of the 4-punctured sphere and enumerative geometry of curves in cubic surfaces is a mathematical manifestation of the existence of dual descriptions in string/M-theory for the N = 2 N f = 4 SU(2) gauge theory. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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