Reduction and duality in generalized geometry

Details Reduction and duality in generalized geometry Reduction and duality in generalized geometry

2005-12-29

arxiv.org/abs/math/0512634v3

Mathematics

Differential Geometry

LaTeX, 23 pages, xy-pic diagrams. Improved presentation and added references

Scientific paper

Extending our reduction construction in \cite{Hu} to the Hamiltonian action of a Poisson Lie group, we show that generalized K\"ahler reduction exists even when only one generalized complex structure in the pair is preserved by the group action. We show that the constructions in string theory of the (geometrical) $T$-duality with $H$-fluxes for principle bundles naturally arise as reductions of factorizable Poisson Lie group actions. In particular, the group may be non-abelian.

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