On The Geometry of Field Theoretic Gerstenhaber Structures

Details On The Geometry of Field Theoretic Gerstenhaber Structures On The Geometry of Field Theoretic Gerstenhaber Structures

2001-02-09

arxiv.org/abs/math-ph/0102012v1

Rept.Math.Phys. 48 (2001) 203-210

Physics

Mathematical Physics

Scientific paper

10.1016/S0034-4877(01)80080-X

Field theoretical models with first order Lagrangean can be formulated in a covariant Hamiltonian formalism. In this article, the geometrical construction of the Gerstenhaber structure that encodes the equations of motion is explained for arbitrary fibre bundles. Special emphasis has been put on naturality of the constructions. Further, the treatment of symmetries is explained. Finally, the canonical field theoretical 2-form is obtained by pull back and integration of the polysymplectic form over space like hypersurfaces.

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