Article
Licensed
Unlicensed
Requires Authentication
The punctured torus and Lagrangian triangle groups in PU(2,1)
Published/Copyright:
February 12, 2007
Abstract
We embed the Teichmüller space of the once punctured torus T(1,1) into the set of conjugacy classes of groups generated by three anti-holomorphic involutions I1, I2 and I3 (Lagrangian triangle groups), acting on the complex hyperbolic plane 
. We deform this embedding, and obtain a three dimensional family E of discrete, faithful and type preserving representations of the fundamental group of the once punctured torus.
Received: 2005-03-11
Revised: 2005-09-20
Published Online: 2007-02-12
Published in Print: 2007-01-29
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Group splittings and asymptotic topology
- The existence of regular boundary points for non-linear elliptic systems
- Non-abelian Iwasawa theory of ℤp-extensions
- The punctured torus and Lagrangian triangle groups in PU(2,1)
- Extension operators for spaces of infinite differentiable Whitney jets
- The numbers of tropical plane curves through points in general position
- On ternary quadratic forms that represent zero: II
- On the p-independence boundedness property of Calderón-Zygmund theory
- Amenable operators on Hilbert spaces, (J. reine angew. Math. 582 (2005), 201–228)
Articles in the same Issue
- Group splittings and asymptotic topology
- The existence of regular boundary points for non-linear elliptic systems
- Non-abelian Iwasawa theory of ℤp-extensions
- The punctured torus and Lagrangian triangle groups in PU(2,1)
- Extension operators for spaces of infinite differentiable Whitney jets
- The numbers of tropical plane curves through points in general position
- On ternary quadratic forms that represent zero: II
- On the p-independence boundedness property of Calderón-Zygmund theory
- Amenable operators on Hilbert spaces, (J. reine angew. Math. 582 (2005), 201–228)
