paper

Note on Floer theory and integrable hierarchies

arXiv:1206.1564

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.

8 pages; short note, other parts encorporated into 1310.6014 and 1412.2682 following the suggestion of an anonymous referee

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