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Reduction of branes in generalized complex geometry

Marco Zambon
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Abstract

We show that certain submanifolds of generalized complex manifolds ("weak branes") admit a natural quotient which inherits a generalized complex structure. This is analog to quotienting coisotropic submanifolds of symplectic manifolds. In particular Gualtieri's generalized complex submanifolds ("branes") quotient to space-filling branes. Along the way we perform reductions by foliations (i.e. no group action is involved) for exact Courant algebroids - interpreting the reduced Ševera class - and for Dirac structures.

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Marco Zambon. 2008-05-21. Reduction of branes in generalized complex geometry. https://arxiv.org/abs/math/0701740

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