Note on Floer theory and integrable hierarchies
Symplectic Geometry
2016-04-05 v9 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this short note we show how Dubrovin's integrable hierarchies, defined using the Gromov-Witten theory of a closed symplectic manifold, generalizes to Hamiltonian Floer theory. In particular, we show how the required generalization of the PSS isomorphism, relating Gromov-Witten theory and Hamiltonian Floer theory, can be constructed in the framework of Eliashberg-Givental-Hofer's symplectic field theory.
Keywords
Cite
@article{arxiv.1206.1564,
title = {Note on Floer theory and integrable hierarchies},
author = {Oliver Fabert},
journal= {arXiv preprint arXiv:1206.1564},
year = {2016}
}
Comments
8 pages; short note, other parts encorporated into 1310.6014 and 1412.2682 following the suggestion of an anonymous referee