Hamiltonian loops on the symplectic blow up along a submanifold
Symplectic Geometry
2022-06-23 v1 Algebraic Topology
Abstract
We prove that the fundamental group of the group of Hamiltonian diffeomorphisms of the symplectic manifold that is obtain by blowing up a submanifold contains an element of infinite order. We prove this using Weinstein's morphism and by constructing explicitly such loop of Hamiltonian diffeomorphisms.
Keywords
Cite
@article{arxiv.2206.10740,
title = {Hamiltonian loops on the symplectic blow up along a submanifold},
author = {Andrés Pedroza},
journal= {arXiv preprint arXiv:2206.10740},
year = {2022}
}
Comments
22 pages