Hofer Geometry for Lagrangian loops
BeschreibungWe examine three invariants for exact loops of Lagrangian submanifolds that are modelled on invariants introduced by Leonid Polterovich for loops of Hamiltonian symplectomorphisms. One of these is the minimal Hofer length in a given Hamiltonian isotopy class. We determine the exact values of these invariants for loops of projective Lagrangian planes. The proof uses the Gromov invariants of an associated symplectic fibration over the 2-disc with a Lagrangian subbundle over the boundary.
The last two chapters concern different topics and can be read completely independently.
PortraitThe 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.
Untertitel: And a Legendrian Knot and a Travelling Wave. Paperback. Sprache: Englisch.
Verlag: VDM Verlag
Erscheinungsdatum: Mai 2008
Seitenanzahl: 140 Seiten