TY - RPRT T1 - Donagi–Markman cubic for the generalised Hitchin system Y1 - 2014 A1 - Ugo Bruzzo A1 - Peter Dalakov KW - Generalized Hitchin system, Donagi-Markman cubic, algebraically completely integrable systems, moduli space of Higgs G-bundles AB - 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. UR - http://hdl.handle.net/1963/7253 U1 - 7294 U2 - Mathematics U4 - 1 U5 - MAT/03 GEOMETRIA ER -