Institut de Mathématiques de Marseille, UMR 7373




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Skein algebras of surfaces and Quantum Teichmuller space

Lundi 19 juin 14:00-15:00 - Thang LE - Georgia Institute of Technology

Skein algebras of surfaces and Quantum Teichmuller space

Résumé : The skein algebra of a surfaces has connections to classical objects like the character variety and to quantum objects like the Jones-Witten invariants. We show how to decompose the skein algebra of a surface into elementary blocks corresponding to the triangles in an ideal triangulation of the surface. We also explain the relation between the skein algebra and the quantum Teichmu"ller space. As an application we give a simple proof of the existence of the quantum trace map of Bonahon and Wong.

JPEG - 15.1 ko
Thang LE

Lieu : CMI, salle de séminaire R164 - I2M - Château-Gombert
39 rue Frédéric Joliot-Curie
13453 Marseille cedex 13

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Pour en savoir plus sur cet événement, consultez l'article Séminaire Géométrie, Dynamique et Topologie (GDT)