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Generalized geometry and the Hodge decomposition TeX Export

(7 Sep 2004)

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generalized_complex_geometry hodge_theory

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In this lecture, we review some of the concepts of generalized geometry, as introduced by Hitchin and developed in the speaker's thesis. We also prove a Hodge decomposition for the twisted cohomology of a compact generalized Kähler manifold, as well as a generalization of the $dd^c$-lemma of Kähler geometry.


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