Obstructions to the Existence of Exact Lagrangian Embeddings into Cotangent Bundles

Abstract

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 direct product of two non-trivial groups and that the difference between the number of generators and the number of relations in a finite presentation… (More)

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