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 -