Journal of Symplectic Geometry
Volume 11 (2013)
On the Hofer geometry for weakly exact Lagrangian submanifolds
Pages: 475 – 488
We use spectral invariants in Lagrangian Floer theory in order to show that there exist isometric embeddings of normed linear spaces (finite or infinite-dimensional, depending on the case) into the space of Hamiltonian deformations of certain weakly exact Lagrangian submanifolds in tame symplectic 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.
Published 22 August 2013