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III International Conference "Quantum Topology"
June 20, 2016 11:20–12:10, Moscow, Steklov Mathematical Institute
 


Triangular decomposition of skein algebras and quantum Teichmüller spaces

Thang Le
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Thang Le
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Abstract: We show how to decompose the Kauffman bracket skein algebra of a surface into elementary blocks corresponding to the triangles in an ideal triangulation of the surface. This gives an easy proof of the existence of the quantum trace map of Bonahon and Wong. We also explain the relation between the Kauffman bracket skein algebra and the quantum Teichmüller space.
The author is partially supported by the NSF.

Language: English

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