Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894445 | Journal of Geometry and Physics | 2008 | 13 Pages |
Abstract
This note examines the geometry behind the Hamiltonian structure of isomonodromy deformations of connections on vector bundles over Riemann surfaces. The main point is that one should think of an open set of the moduli of pairs (V,∇)(V,∇) of vector bundles and connections as being obtained by “twists” supported over points of a fixed vector bundle V0V0 with a fixed connection ∇0∇0; this gives two deformations, one, isomonodromic, of (V,∇)(V,∇), and another induced from the isomonodromic deformation of (V0,∇0)(V0,∇0). The difference between the two will be Hamiltonian.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jacques Hurtubise,