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Integration of Courant algebroids

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Chenchang Zhu
Universität Göttingen
Fri, 2011-06-17 09:15 - 10:15
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Recently, many efforts have been made to integrate a Courant algebroid, namely to find a global object associated to a Courant algebroid (For example, a global object corresponds to a Lie algebra is a Lie group). One of the reasons is probably that the standard Courant algebroid serves as the generalized tangent bundle of a generalized complex manifold of Hichin and Gualtieri. Thus the integration will help to understand the global symmetry of such manifolds. Our idea is that we first view an exact Courant algebroid as an extension of the tangent bundle by its coadjoint representation (up to homotopy), then we perform the integration by the usual method of integration of an extension.

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