Homogeneous quasimorphism, C^0-topology and Lagrangian intersection
Yusuke Kawamoto (Ecole Normale Superieure)
Abstract: The goal of the talk is to construct a non-trivial homogeneous quasimorphism on the group of Hamiltonian diffeomorphisms of the 2- and 4-dimensional quadric which is continuous with respect to both C^0-topology and the Hofer metric. This answers a variant of a question of Entov-Polterovich-Py. A comparison of spectral invariants for quantum cohomology rings with different coefficient fields plays a crucial role in the proof which might be of independent interest. If time permits, we will see how this comparison can be used to answer a question of Polterovich-Wu.
differential geometrydynamical systemsgeometric topologysymplectic geometry
Audience: researchers in the topic
Series comments: On the week of the seminar, an announcement with the Zoom link is mailed to the seminar mailing list. To receive these e-mails, please sign up by writing to Lev Buhovsky (http://www.math.tau.ac.il/~levbuh/).
Organizers: | Michael Bialy, Lev Buhovsky*, Yaron Ostrover, Leonid Polterovich |
*contact for this listing |