Open Access
September 2006 Brackets, forms and invariant functionals
Nigel Hitchin
Asian J. Math. 10(3): 541-560 (September 2006).


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, which involves three Courant-commuting sections of $T \bigoplus T\sp *$ . A Hamiltonian flow arising from this corresponds to a version of the Nahm equations, and we investigate the sixdimensional geometrical structure this describes.


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Nigel Hitchin. "Brackets, forms and invariant functionals." Asian J. Math. 10 (3) 541 - 560, September 2006.


Published: September 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1113.53030
MathSciNet: MR2253158

Primary: 53C25 , 53C80

Keywords: Courant bracket , Generalized geometry , gerbe , skew torsion

Rights: Copyright © 2006 International Press of Boston

Vol.10 • No. 3 • September 2006
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