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arXiv · 0710.0511

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

Mihai Damian
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Abstract

We 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.

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BibTeXRIS

Mihai Damian. 2008-09-11. Constraints on exact Lagrangians in cotangent bundles of manifolds fibred over the circle. https://arxiv.org/abs/0710.0511

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