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September 2013 On the Hofer geometry for weakly exact Lagrangian submanifolds
Frol Zapolsky
J. Symplectic Geom. 11(3): 475-488 (September 2013).

Abstract

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.

Citation

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Frol Zapolsky. "On the Hofer geometry for weakly exact Lagrangian submanifolds." J. Symplectic Geom. 11 (3) 475 - 488, September 2013.

Information

Published: September 2013
First available in Project Euclid: 12 November 2013

zbMATH: 1282.53068
MathSciNet: MR3100802

Rights: Copyright © 2013 International Press of Boston

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Vol.11 • No. 3 • September 2013
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