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.
Donagi-Markman cubic for the generalised Hitchin system / Bruzzo, Ugo; Dalakov, P.. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - 25:2(2014), pp. 1-20. [10.1142/S0129167X14500165]
Donagi-Markman cubic for the generalised Hitchin system
Bruzzo, Ugo;
2014-01-01
Abstract
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.| File | Dimensione | Formato | |
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