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Hofer Geometry for Lagrangian Loops

Name: Hofer Geometry for Lagrangian Loops
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 06811844
Price: 21849 HUF
Availability: InStock
Author: Meike Akveld
ISBN: 9783639019346

And a Legendrian Knot and a Travelling Wave

Meike Akveld

Language

English

Book Paperback

Libristo code: 06811844

Publishers VDM Verlag Dr. Mueller E.K., May 2008

We examine three invariants for exact loops of Lagrangiansubmanifolds that are modelled on invariant... Full description

Libristo code: 06811844

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We examine three invariants for exact loops of Lagrangiansubmanifolds that are modelled on invariants introduced by LeonidPolterovich for loops of Hamiltonian symplectomorphisms. One ofthese is the minimal Hofer length in a given Hamiltonian isotopyclass. We determine the exact values of these invariants for loopsof projective Lagrangian planes. The proof uses the Gromovinvariants of an associated symplectic fibration over the 2-discwith a Lagrangian subbundle over the boundary. The last twochapters concern different topics and can be read completelyindependently.