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Reduction of branes in generalized complex geometry
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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 \v{S}evera class - and for Dirac structures.
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Cited by 2 Pith papers
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Generalised Complex and Spinor Relations
Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.
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Courant Algebroid Relations, T-Dualities and Generalised Ricci Flow
Using Courant algebroid relations, the authors prove that geometric T-duality maps solutions of generalized Ricci flow to solutions of generalized Ricci flow, preserving the generalized string background equations.
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