Representations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions

Details Representations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions Representations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions

2006-08-28

arxiv.org/abs/math/0608682v3

Canad. J. Math. 59 (2007), no. 4, 845--879.

Mathematics

Symplectic Geometry

Scientific paper

In this paper, we characterize unitary representations of the fundamental group of a punctured sphere whose generators can be decomposed into products of two Lagrangian involutions. Our main result is that such representations are exactly the elements of the fixed-point set of an anti-symplectic involution defined on the moduli space of unitary representations of this fundamental group. Consequently, it is a Lagrangian submanifold of this representation space.

Affiliated with

Also associated with

No associations

Rating

Representations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions 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 Representations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-106512