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.
@article{WBLN_2016__3__A2_0,
author = {Kashaev, Rinat},
title = {Combinatorics of the {Teichm\"uller} {TQFT}},
booktitle = {Winter Braids VI (Lille, 2016)},
series = {Winter Braids Lecture Notes},
note = {talk:2},
pages = {1--16},
publisher = {Winter Braids School},
year = {2016},
doi = {10.5802/wbln.13},
mrnumber = {3707743},
zbl = {1422.57077},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/wbln.13/}
}
TY - JOUR AU - Kashaev, Rinat TI - Combinatorics of the Teichmüller TQFT BT - Winter Braids VI (Lille, 2016) AU - Collectif T3 - Winter Braids Lecture Notes N1 - talk:2 PY - 2016 SP - 1 EP - 16 PB - Winter Braids School UR - http://archive.numdam.org/articles/10.5802/wbln.13/ DO - 10.5802/wbln.13 LA - en ID - WBLN_2016__3__A2_0 ER -
%0 Journal Article %A Kashaev, Rinat %T Combinatorics of the Teichmüller TQFT %B Winter Braids VI (Lille, 2016) %A Collectif %S Winter Braids Lecture Notes %Z talk:2 %D 2016 %P 1-16 %I Winter Braids School %U http://archive.numdam.org/articles/10.5802/wbln.13/ %R 10.5802/wbln.13 %G en %F WBLN_2016__3__A2_0
Kashaev, Rinat. Combinatorics of the Teichmüller TQFT, dans Winter Braids VI (Lille, 2016), Winter Braids Lecture Notes (2016), Exposé no. 2, 16 p. doi : 10.5802/wbln.13. http://archive.numdam.org/articles/10.5802/wbln.13/
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