Quasi-Hamiltonian Geometry of Meromorphic Connections

Details Quasi-Hamiltonian Geometry of Meromorphic Connections Quasi-Hamiltonian Geometry of Meromorphic Connections

2002-03-15

arxiv.org/abs/math/0203161v2

Duke Math. J. 139 (2007), no. 2, 369-405

Mathematics

Differential Geometry

21 pages

Scientific paper

For each connected complex reductive group G, we find a family of new examples of complex quasi-Hamiltonian G-spaces with G-valued moment maps. These spaces arise naturally as moduli spaces of (suitably framed) meromorphic connections on principal G-bundles over a disc, and they generalise the conjugacy class example of Alekseev, Malkin and Meinrenken (which appears in the simple pole case). Using the `fusion product' in the theory this gives a finite dimensional construction of the natural symplectic structures on the spaces of monodromy/Stokes data of meromorphic connections over arbitrary genus Riemann surfaces, together with a new proof of the symplectic nature of isomonodromic deformations of such connections.

Affiliated with

Also associated with

No associations

Rating

Quasi-Hamiltonian Geometry of Meromorphic Connections 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 Quasi-Hamiltonian Geometry of Meromorphic Connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-Hamiltonian Geometry of Meromorphic Connections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143815