Hofer Geometry for Lagrangian loops
And a Legendrian Knot and a Travelling Wave
(Sprache: Englisch)
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....
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Klappentext zu „Hofer Geometry for Lagrangian loops “
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.
Autoren-Porträt von Meike Akveld
The author completed her studies of mathematics at the University of Warwick and Cambridge University, UK. She then moved to the ETH in Zuerich where she wrote her PhD in symplectic geometry supervised by Dietmar Salamon and Leonid Polterovich. Since 2000 she has been teaching at a Gymnasium and since 2007 again at the ETH, Zuerich.
Bibliographische Angaben
- Autor: Meike Akveld
- 2008, 140 Seiten, Masse: 15 x 22 cm, Kartoniert (TB), Englisch
- Verlag: VDM Verlag Dr. Müller
- ISBN-10: 3639019342
- ISBN-13: 9783639019346
Sprache:
Englisch
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