Donagi-Markman cubic for the generalised Hitchin system
Algebraic Geometry
2014-04-15 v3 Symplectic Geometry
Abstract
Donagi and Markman (1993) have shown that the infinitesimal period map for an algebraic completely integrable Hamiltonian system is encoded in a section of the third symmetric power of the cotangent bundle to the base of the system. For the ordinary Hitchin system the cubic is given by a formula of Balduzzi and Pantev. We prove that the Balduzzi--Pantev formula holds along maximal rank symplectic leaves of the G-generalised Hitchin system.
Cite
@article{arxiv.1308.6788,
title = {Donagi-Markman cubic for the generalised Hitchin system},
author = {Ugo Bruzzo and Peter Dalakov},
journal= {arXiv preprint arXiv:1308.6788},
year = {2014}
}
Comments
Comments welcome. Preliminary version 17 pages. Version 2: Exposition improved, minor corrections; 21 pages Version 3: minor corrections; final version, 20 p