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math.DG2005★ 1 cited
The moduli space of flat G-bundles on a compact hyper-Kahler manifold
Mohammed Abouzaid, Mitya Boyarchenko
We prove that if G is a compact connected Lie group and X is a compact connected hyper-Kahler manifold, then the L^2 metric on (the smooth locus of) the moduli space of flat G-bund…
math.DG2004★ 3 cited
Local structure of generalized complex manifolds
Mohammed Abouzaid, Mitya Boyarchenko
We study generalized complex manifolds from the point of view of symplectic and Poisson geometry. We start by showing that every generalized complex manifold admits a canonical Poi…