%0 Report %D 2014 %T Donagi–Markman cubic for the generalised Hitchin system %A Ugo Bruzzo %A Peter Dalakov %K Generalized Hitchin system, Donagi-Markman cubic, algebraically completely integrable systems, moduli space of Higgs G-bundles %X 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. %G en %U http://hdl.handle.net/1963/7253 %1 7294 %2 Mathematics %4 1 %# MAT/03 GEOMETRIA %$ Submitted by Ugo Bruzzo (bruzzo@sissa.it) on 2014-02-17T15:50:22Z No. of bitstreams: 1 bruzzo-dalakov-fin-2.pdf: 461019 bytes, checksum: 99e7b1cb6cd4f6f5d5fbfaa1d2d35880 (MD5)