Constraints on exact Lagrangians in cotangent bundles of manifolds fibred over the circle

dc.creatorDamian, Mihai
dc.date2007-10-02
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:01:50Z
dc.date.available2026-07-07T10:01:50Z
dc.descriptionWe give topological obstructions to the existence of a closed exact Lagrangian submanifold in the cotangent bundle of a closed manifold M which is the total space of a fibration over the circle. For instance we show that the fundamental group of such a Lagrangian submanifold cannot be the free product of two non-trivial groups and that in any finite presentation of this group the difference between the number of generators and the number of relations is less than two.
dc.identifierhttps://arxiv.org/abs/0710.0511
dc.identifierhttp://arxiv.org/abs/0710.0511
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168764
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject57R17, 57R58, 57R70, 53D12
dc.titleConstraints on exact Lagrangians in cotangent bundles of manifolds fibred over the circle
dc.typetext

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