Donagi–Markman cubic for the generalised Hitchin system

Title	Donagi–Markman cubic for the generalised Hitchin system
Publication Type	Preprint
	2014
Authors	Bruzzo, U, Dalakov, P
	Generalized Hitchin system, Donagi-Markman cubic, algebraically completely integrable systems, moduli space of Higgs G-bundles
	Donagi and Markman (1993) have shown that the infinitesimal period map for an algebraic completely integrable Hamiltonian system (ACIHS) 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 show that the Balduzzi–Pantev formula holds on maximal rank symplectic leaves of the G-generalised Hitchin system.
	http://hdl.handle.net/1963/7253

Research Group:

Mathematics