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Angela Loew

Fabian Ziltener (Seoul): Coisotropic capacities, leafwise fixed points, and continuity (joint work with Jan Swoboda and Kai Zehmisch)

Tuesday, 11.12.2012 16:30 im Raum M1

Mathematik und Informatik

Given a symplectic manifold, consider the supremum of the minimal actions of regular closed coisotropic submanifolds of a fixed dimension. This defines a symplectic capacity. It follows from a leafwise fixed point result for Hamiltonian diffeomorphisms that the capacity of the standard symplectic cylinder is bounded above by pi. On the other hand, using a Lagrangian submanifold considered by M. Audin and L. Polterovich, one obtains a lower bound for the ball. A version of the capacity which is based on spheres, turns out to be discontinuous in dimension four. This answers a question by K. Cieliebak, H. Hofer, J. Latschev, and F. Schlenk.



Angelegt am Wednesday, 05.12.2012 10:52 von Angela Loew
Geändert am Wednesday, 05.12.2012 10:52 von Angela Loew
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