Mathematics – Differential Geometry
Scientific paper
2012-04-03
Mathematics
Differential Geometry
Scientific paper
We develop Fenchel-Nielsen coordinates for representations of surface groups into Sp(2n,R) with maximal Toledo invariant. Analogous to classical Fenchel-Nielsen coordinates on the Teichm\"uller space they consist of a parametrization of representations of the fundamental group of a pair of pants and a careful investigation of the gluing. As applications we obtain results for non-closed surfaces, which have been known only for closed surfaces before: we count the number of connected components of their representation space and prove continuity for the limit curve for a certain type of representations.
No associations
LandOfFree
Fenchel-Nielsen Coordinates for Maximal Representations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fenchel-Nielsen Coordinates for Maximal Representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fenchel-Nielsen Coordinates for Maximal Representations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-355397