Hamiltonian loops on the symplectic one-point blow up
Symplectic Geometry
2016-12-07 v2
Abstract
We lift a Hamiltonian loop on a symplectic manifold to a Hamiltonian loop on the symplectic one-point blow up of a symplectic manifold. Then we use Weinstein's morphism to show that the lifted Hamiltonian loop has infinite order on the fundamental group of the group of Hamiltonian diffeomorphisms of the blown up manifold.
Keywords
Cite
@article{arxiv.1510.01693,
title = {Hamiltonian loops on the symplectic one-point blow up},
author = {Andres Pedroza},
journal= {arXiv preprint arXiv:1510.01693},
year = {2016}
}
Comments
16 pages. Corrected a critical error in the proof of the main result