Generating families on arboreal graphs
Symplectic Geometry
2021-10-08 v1
Abstract
The paper is devoted to the study of exact curves on Arborealized Liouville surfaces. We introduce the notion of a generating family for such curves. Our main statement is a hamiltonian lifting property: the set of curves admitting a generating family is closed with respect to Hamiltonian isotopes. This is part of the author's future thesis. It will be translated into English within a few weeks. In the future, we plan to generalize our results in several directions and find applications.
Cite
@article{arxiv.2110.03441,
title = {Generating families on arboreal graphs},
author = {Ivan Yakovlev},
journal= {arXiv preprint arXiv:2110.03441},
year = {2021}
}
Comments
in Russian. Keywords: Symplectic surfaces, Generating families, Arboreal spaces