On the Lagrangian Hofer geometry in symplectically aspherical manifolds

Details On the Lagrangian Hofer geometry in symplectically aspherical manifolds On the Lagrangian Hofer geometry in symplectically aspherical manifolds

2012-01-02

arxiv.org/abs/1201.0504v1

Mathematics

Symplectic Geometry

12 pages

Scientific paper

We use spectral invariants in Lagrangian Floer theory in order to show that there exist \emph{isometric} embeddings of normed linear spaces (finite or infinite dimensional, depending on the case) into the space of Hamiltonian deformations of certain Lagrangian submanifolds in tame symplectically aspherical manifolds. In addition to providing a new class of examples in which the Lagrangian Hofer metric can be computed explicitly, we refine and generalize some known results about it.

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