Flat pencils of symplectic connections and Hamiltonian operators of degree 2

Ferguson, J. (2008) Flat pencils of symplectic connections and Hamiltonian operators of degree 2. Journal of Geometry and Physics, 58(4), pp. 468-486. (doi: 10.1016/j.geomphys.2007.12.002)

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Publisher's URL: http://dx.doi.org/10.1016/j.geomphys.2007.12.002

Abstract

Bi-Hamiltonian structures involving Hamiltonian operators of degree 2 are studied. Firstly, pairs of degree 2 operators are considered in terms of an algebra structure on the space of 1-forms, related to so-called Fermionic Novikov algebras. Then, degree 2 operators are considered as deformations of hydrodynamic type Poisson brackets.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:UNSPECIFIED
Authors: Ferguson, J.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Geometry and Physics
ISSN:0393-0440

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