An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation

Details An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation

2011-05-30

arxiv.org/abs/1105.5950v2

Journal of Geometry and Physics 62 (2012) 1397-1413

Mathematics

Algebraic Geometry

29 pages

Scientific paper

10.1016/j.geomphys.2012.01.014

This paper deals with moduli spaces of framed principal bundles with connections with irregular singularities over a compact Riemann surface. These spaces have been constructed by Boalch by means of an infinite-dimensional symplectic reduction. It is proved that the symplectic structure induced from the Atiyah--Bott form agrees with the one given in terms of hypercohomology. The main results of this paper adapt work of Krichever and of Hurtubise to give an interpretation of some Hitchin Hamiltonians as yielding Hamiltonian vector fields on moduli spaces of irregular connections that arise from differences of isomonodromic flows defined in two different ways. This relies on a realization of open sets in the moduli space of bundles as arising via Hecke modification of a fixed bundle.

Affiliated with

Also associated with

No associations

Rating

An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation 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 An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Interpretation of Some Hitchin Hamiltonians In Terms of Isomonodromic Deformation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-678261