Commentarii Mathematici Helvetici


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Volume 84, Issue 4, 2009, pp. 705–746
DOI: 10.4171/CMH/178

Published online: 2009-12-23

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

Mihai Damian[1]

(1) Université de Strasbourg, France

We give topological obstructions to the existence of a closed exact Lagrangian submanifold L ↪ T*M, where M is the total space of a fibration over the circle. For instance, we show that π1(L) cannot be the free product of two non-trivial groups and that the difference between the number of generators and the number of relations in a finite presentation of π1(L) is less than two.

Keywords: Lagrangian embeddings, Novikov homology, Floer homology

Damian Mihai: Constraints on exact Lagrangians in cotangent bundles of manifolds fibered over the circle. Comment. Math. Helv. 84 (2009), 705-746. doi: 10.4171/CMH/178