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Decomposable representations and Lagrangian submanifolds of moduli spaces associated to surface groups

Abstract : The main result of the thesis is a real convexity theorem for group-valued momentum maps. This theorem is then used to construct Lagrangian submanifolds of quasi-Hamiltonian quotients, especially of representation spaces of surface groups. The notion of decomposable representation provides a geometric interpretation of the Lagrangian submanifold thus obtained.
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https://tel.archives-ouvertes.fr/tel-00264370
Contributor : Florent Schaffhauser <>
Submitted on : Monday, March 17, 2008 - 8:49:38 AM
Last modification on : Wednesday, December 9, 2020 - 3:13:58 PM
Long-term archiving on: : Thursday, May 20, 2010 - 10:05:46 PM

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  • HAL Id : tel-00264370, version 1

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Florent Schaffhauser. Decomposable representations and Lagrangian submanifolds of moduli spaces associated to surface groups. Mathematics [math]. Université Pierre et Marie Curie - Paris VI, 2005. English. ⟨tel-00264370⟩

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