Skein algebras of surfaces and Quantum Teichmuller space

Thang T. Q. Lê
Georgia Institute of Technology, Atlanta

Date(s) : 19/06/2017   iCal
14 h 00 min - 15 h 00 min

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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