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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Skein algebras of surfaces and Quantum Teichmuller space

Thang T. Q. Lê
Georgia Institute of Technology, Atlanta
https://people.math.gatech.edu/~letu/

Date(s) : 19/06/2017   iCal
14h00 - 15h00

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.

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