Reduction of branes in generalized complex geometry
微分几何
2011-02-22 v3 高能物理 - 理论
辛几何
摘要
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 \v{S}evera class - and for Dirac structures.
引用
@article{arxiv.math/0701740,
title = {Reduction of branes in generalized complex geometry},
author = {Marco Zambon},
journal= {arXiv preprint arXiv:math/0701740},
year = {2011}
}
备注
Final version, to apper in Journal of Symplectic Geometry. Proofs in section 5 simplified. 19 pages