surface group representations
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scholarly journals Exotic components of SO( p , q ) surface group representations, and their Higgs bundle avatars

2018 ◽  
Vol 356 (6) ◽  
pp. 666-673 ◽  
Author(s):  
Marta Aparicio-Arroyo ◽  
Steven Bradlow ◽  
Brian Collier ◽  
Oscar García-Prada ◽  
Peter B. Gothen ◽  
...  
Keyword(s):  
Surface Group ◽  
Higgs Bundle ◽  
Group Representations ◽  
Surface Group Representations

scholarly journals On Fenchel–Nielsen Coordinates of Surface Group Representations into SU(3,1)

2017 ◽  
Vol 165 (1) ◽  
pp. 1-23 ◽  
Author(s):  
KRISHNENDU GONGOPADHYAY ◽  
SHIV PARSAD
Keyword(s):  
Surface Group ◽  
Orientable Surface ◽  
Deformation Space ◽  
Group Representations ◽  
Surface Group Representations

AbstractLet Σgbe a compact, connected, orientable surface of genusg≥ 2. We ask for a parametrisation of the discrete, faithful, totally loxodromic representations in the deformation space Hom(π1(Σg), SU(3, 1))/SU(3, 1). We show that such a representation, under some hypothesis, can be determined by 30g− 30 real parameters.

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