Abstract
Consider a closed coisotropic submanifold N of a symplectic manifold (M, ω) and a Hamiltonian diffeomorphism Φ on M. The main result of this article states that Φ has at least the cup-length of N many leafwise fixed points w.r.t. N, provided that it is the time-1-map of a global Hamiltonian flow whose restriction to N stays C0-close to the inclusion N → M. If (Φ,N) is suitably nondegenerate then the number of these points is bounded below by the sum of the Betti-numbers of N. The nondegeneracy condition is generically satisfied. This appears to be the first leafwise fixed point result in which neither Φ
Original language | English |
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Pages (from-to) | 2411-2452 |
Number of pages | 42 |
Journal | International Mathematics Research Notices |
Volume | 2019 |
Issue number | 8 |
DOIs | |
Publication status | Published - Apr 2019 |