Representations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions

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dc.creatorSchaffhauser, Florent
dc.date2006-08-28
dc.date2008-06-16
dc.date.accessioned2026-07-07T10:04:44Z
dc.date.available2026-07-07T10:04:44Z
dc.descriptionIn this paper, we characterize unitary representations of the fundamental group of a punctured sphere whose generators can be decomposed into products of two Lagrangian involutions. Our main result is that such representations are exactly the elements of the fixed-point set of an anti-symplectic involution defined on the moduli space of unitary representations of this fundamental group. Consequently, it is a Lagrangian submanifold of this representation space.
dc.identifierhttps://arxiv.org/abs/math/0608682
dc.identifierhttp://arxiv.org/abs/math/0608682
dc.identifierCanad. J. Math. 59 (2007), no. 4, 845--879.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169786
dc.subjectSymplectic Geometry
dc.subject53D20, 53D30
dc.titleRepresentations of the fundamental group of an L-punctured sphere generated by products of Lagrangian involutions
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