scholarly journals Dominating surface group representations and deforming closed anti-de Sitter 3–manifolds

2017 ◽  
Vol 21 (1) ◽  
pp. 193-214 ◽  
Author(s):  
Nicolas Tholozan
Keyword(s):  
Surface Group ◽  
De Sitter ◽  
Group Representations ◽  
Surface Group Representations

scholarly journals Surface group representations with maximal Toledo invariant

2010 ◽  
Vol 172 (1) ◽  
pp. 517-566 ◽  
Author(s):  
Marc Burger ◽  
Alessandra Iozzi ◽  
Anna Wienhard
Keyword(s):  
Surface Group ◽  
Group Representations ◽  
Toledo Invariant ◽  
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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