Critical exponent of graphed Teichmüller representations on
Séminaire de théorie spectrale et géométrie, Tome 32 (2014-2015), pp. 115-135
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In this note we survey different results on critical exponent. After giving the general setting and classical known results we study critical exponent associated to a pair of Teichmüller representations acting on by diagonal action. We will give new examples of behaviour of this critical exponent. We finally explain the link of this invariant with Anti-De Sitter geometry.
@article{TSG_2014-2015__32__115_0,
author = {Glorieux, Olivier},
title = {Critical exponent of graphed {Teichm\"uller} representations on $\mathbb{H}^2 \times \mathbb{H}^2$},
journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
pages = {115--135},
year = {2014-2015},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {32},
doi = {10.5802/tsg.306},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/tsg.306/}
}
TY - JOUR
AU - Glorieux, Olivier
TI - Critical exponent of graphed Teichmüller representations on $\mathbb{H}^2 \times \mathbb{H}^2$
JO - Séminaire de théorie spectrale et géométrie
PY - 2014-2015
SP - 115
EP - 135
VL - 32
PB - Institut Fourier
PP - Grenoble
UR - http://geodesic.mathdoc.fr/articles/10.5802/tsg.306/
DO - 10.5802/tsg.306
LA - en
ID - TSG_2014-2015__32__115_0
ER -
%0 Journal Article
%A Glorieux, Olivier
%T Critical exponent of graphed Teichmüller representations on $\mathbb{H}^2 \times \mathbb{H}^2$
%J Séminaire de théorie spectrale et géométrie
%D 2014-2015
%P 115-135
%V 32
%I Institut Fourier
%C Grenoble
%U http://geodesic.mathdoc.fr/articles/10.5802/tsg.306/
%R 10.5802/tsg.306
%G en
%F TSG_2014-2015__32__115_0
Glorieux, Olivier. Critical exponent of graphed Teichmüller representations on $\mathbb{H}^2 \times \mathbb{H}^2$. Séminaire de théorie spectrale et géométrie, Tome 32 (2014-2015), pp. 115-135. doi: 10.5802/tsg.306
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