# Flexibility of surface groups in classical simple Lie groups

Journal of the European Mathematical Society (2015)

- Volume: 017, Issue: 9, page 2209-2242
- ISSN: 1435-9855

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topKim, 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 -

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