This article relates representations of surface groups to cross ratios. We first identify a connected component of the space of representations into
@article{PMIHES_2007__106__139_0, author = {Labourie, Fran\c{c}ois}, title = {Cross ratios, surface groups, $PSL(n,\mathbf {R})$ and diffeomorphisms of the circle}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {139--213}, publisher = {Springer}, volume = {106}, year = {2007}, doi = {10.1007/s10240-007-0009-5}, language = {en}, url = {http://www.numdam.org/articles/10.1007/s10240-007-0009-5/} }
TY - JOUR AU - Labourie, François TI - Cross ratios, surface groups, $PSL(n,\mathbf {R})$ and diffeomorphisms of the circle JO - Publications Mathématiques de l'IHÉS PY - 2007 SP - 139 EP - 213 VL - 106 PB - Springer UR - http://www.numdam.org/articles/10.1007/s10240-007-0009-5/ DO - 10.1007/s10240-007-0009-5 LA - en ID - PMIHES_2007__106__139_0 ER -
%0 Journal Article %A Labourie, François %T Cross ratios, surface groups, $PSL(n,\mathbf {R})$ and diffeomorphisms of the circle %J Publications Mathématiques de l'IHÉS %D 2007 %P 139-213 %V 106 %I Springer %U http://www.numdam.org/articles/10.1007/s10240-007-0009-5/ %R 10.1007/s10240-007-0009-5 %G en %F PMIHES_2007__106__139_0
Labourie, François. Cross ratios, surface groups, $PSL(n,\mathbf {R})$ and diffeomorphisms of the circle. Publications Mathématiques de l'IHÉS, Tome 106 (2007), pp. 139-213. doi : 10.1007/s10240-007-0009-5. http://www.numdam.org/articles/10.1007/s10240-007-0009-5/
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