Donagi-Markman cubic for the generalised Hitchin system

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.

Comments welcome. Preliminary version 17 pages. Version 2: Exposition improved, minor corrections; 21 pages Version 3: minor corrections; final version, 20 p

Cited by in corpus (4)

• Lectures on Higgs moduli and abelianisation
• Meromorphic Higgs bundles And Related Geometries
• Tau functions, Hodge classes and discriminant loci on moduli spaces of Hitchin's spectral covers
• Seiberg-Witten differentials on the Hitchin base