Brackets, forms and invariant functionals

Nigel Hitchin

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Brackets, forms and invariant functionals

Nigel Hitchin

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Abstract

In the context of generalized geometry we first show how the Courant bracket helps to define connections with skew torsion and then investigate a five-dimensional invariant functional and its associated geometry. A Hamiltonian flow arising from this corresponds to a version of the Nahm equations using the Courant bracket, and we investigate the six-dimensional geometrical structure this describes.

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Nigel Hitchin. 2005-08-30. Brackets, forms and invariant functionals. https://arxiv.org/abs/math/0508618

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