Journal of Symplectic Geometry

Reduction of branes in generalized complex geometry

Marco Zambon

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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 ˇSevera class—and for Dirac structures.

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J. Symplectic Geom., Volume 6, Number 4 (2008), 353-378.

First available in Project Euclid: 15 January 2009

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Zambon, Marco. Reduction of branes in generalized complex geometry. J. Symplectic Geom. 6 (2008), no. 4, 353--378.

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