Journal of Symplectic Geometry

On the Hofer geometry for weakly exact Lagrangian submanifolds

Frol Zapolsky

Full-text: Open access

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.

Article information

Source
J. Symplectic Geom., Volume 11, Number 3 (2013), 475-488.

Dates
First available in Project Euclid: 12 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1384282845

Mathematical Reviews number (MathSciNet)
MR3100802

Zentralblatt MATH identifier
1282.53068

Citation

Zapolsky, Frol. On the Hofer geometry for weakly exact Lagrangian submanifolds. J. Symplectic Geom. 11 (2013), no. 3, 475--488. https://projecteuclid.org/euclid.jsg/1384282845


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