Floer homology for non-resonant magnetic fields on flat tori
Symplectic Geometry
2013-05-16 v2 Dynamical Systems
Abstract
In this article we define and compute the Novikov Floer homology associated to a non-resonant magnetic field and a mechanical Hamiltonian on a flat torus T^{2N}. As a result, we deduce that this Hamiltonian system always has 2N+1 contractible solutions, and generically even 2^{2N} contractible solutions. Moreover if there exists a non-degenerate non-contractible solution then there necessarily exists another.
Keywords
Cite
@article{arxiv.1305.3141,
title = {Floer homology for non-resonant magnetic fields on flat tori},
author = {Urs Frauenfelder and Will J. Merry and Gabriel P. Paternain},
journal= {arXiv preprint arXiv:1305.3141},
year = {2013}
}
Comments
20 pages, V2 - fixed problem with fonts not displaying properly