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December 2007 Reduction and duality in generalize geometry
Shengda Hu
J. Symplectic Geom. 5(4): 439-473 (December 2007).

Abstract

Extending our reduction construction in (S. Hu, Hamiltonian symmetries and reduction in generalized geometry, Houston J. Math., to appear, math.DG/0509060, 2005.) to the Hamiltonian action of a Poisson Lie group, we show that generalized Kähler 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 groups involved may be non-abelian.

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Shengda Hu. "Reduction and duality in generalize geometry." J. Symplectic Geom. 5 (4) 439 - 473, December 2007.

Information

Published: December 2007
First available in Project Euclid: 19 June 2008

MathSciNet: MR2413310

Rights: Copyright © 2007 International Press of Boston

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Vol.5 • No. 4 • December 2007
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