Combinatorics of the Teichmüller TQFT | Zendy

Rinat Kashaev | Zendy

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Combinatorics of the Teichmüller TQFT

Author(s) -

Rinat Kashaev

Publication year - 2017

Publication title -

winter braids lecture notes

Language(s) - English

Resource type - Journals

ISSN - 2426-0312

DOI - 10.5802/wbln.13

Subject(s) - topological quantum field theory , braid , dimension (graph theory) , mathematics , braid group , pure mathematics , development (topology) , topology (electrical circuits) , combinatorics , mathematical analysis , geography , archaeology

Based on the lectures given by the author at the School on braids and low dimensional topology “Winter Braids VI”, University of Lille I, 22-25 February 2016, we review the combinatorics underlying the Teichmüller TQFT, a new type of three-dimensional TQFT with corners where the vector spaces associated with surfaces are infinite dimensional. The geometrical ingredients and the semi-classical behaviour suggest that this theory is related with hyperbolic geometry in dimension three.

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