Flexibility of surface groups in classical simple Lie groups

Kim, Inkang, and Pansu, Pierre. "Flexibility of surface groups in classical simple Lie groups." Journal of the European Mathematical Society 017.9 (2015): 2209-2242. <http://eudml.org/doc/277712>.

@article{Kim2015,
abstract = {We show that a surface group of high genus contained in a classical simple Lie group can be deformed to become Zariski dense, unless the Lie group is $SU(p,q)$ (resp. $SO^* (2n)$, $n$ odd) and the surface group is maximal in some $S(U(p,p) \times U(q-p)) \subset SU(p,q)$ (resp. $SO^* (2n-2) \times SO(2) \subset SO^* (2n)$). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.},
author = {Kim, Inkang, Pansu, Pierre},
journal = {Journal of the European Mathematical Society},
keywords = {algebraic group; symmetric space; rigidity; group cohomology; moduli space; algebraic group; symmetric space; rigidity; group cohomology; moduli space},
language = {eng},
number = {9},
pages = {2209-2242},
publisher = {European Mathematical Society Publishing House},
title = {Flexibility of surface groups in classical simple Lie groups},
url = {http://eudml.org/doc/277712},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Kim, Inkang
AU - Pansu, Pierre
TI - Flexibility of surface groups in classical simple Lie groups
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 9
SP - 2209
EP - 2242
AB - We show that a surface group of high genus contained in a classical simple Lie group can be deformed to become Zariski dense, unless the Lie group is $SU(p,q)$ (resp. $SO^* (2n)$, $n$ odd) and the surface group is maximal in some $S(U(p,p) \times U(q-p)) \subset SU(p,q)$ (resp. $SO^* (2n-2) \times SO(2) \subset SO^* (2n)$). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.
LA - eng
KW - algebraic group; symmetric space; rigidity; group cohomology; moduli space; algebraic group; symmetric space; rigidity; group cohomology; moduli space
UR - http://eudml.org/doc/277712
ER -