A twisted moment map and its equivariance

Details A twisted moment map and its equivariance A twisted moment map and its equivariance

2011-02-08

arxiv.org/abs/1102.1494v2

Mathematics

Differential Geometry

11pages (ver.1); 15pages, major modification (ver.2)

Scientific paper

Let $G$ be a linear connected complex reductive Lie group. The purpose of this paper is to give explicit symplectic isomorphisms from twisted cotangent bundles of the complex generalized flag varieties, whose transition functions are given by affine transformations instead of linear transformations, onto the complex coadjoint semisimple orbits. Moreover, the isomorphisms are shown to be $G$-equivariant.

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