Journal of Symplectic Geometry

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 ˇSevera class—and for Dirac structures.

Article information

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

Dates
First available in Project Euclid: 15 January 2009

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1232029296

Mathematical Reviews number (MathSciNet)
MR2471097

Zentralblatt MATH identifier
1172.53050

Citation

Zambon, Marco. Reduction of branes in generalized complex geometry. J. Symplectic Geom. 6 (2008), no. 4, 353--378. https://projecteuclid.org/euclid.jsg/1232029296


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