Anchored Lagrangian submanifolds and their Floer theory
Symplectic Geometry
2009-07-14 v1
Abstract
We introduce the notion of (graded) anchored Lagrangian submanifolds and use it to study the filtration of Floer' s chain complex. We then obtain an anchored version of Lagrangian Floer homology and its (higher) product structures. They are somewhat different from the more standard non-anchored version. The anchored version discussed in this paper is more naturally related to the variational picture of Lagrangian Floer theory and so to the likes of spectral invariants. We also discuss rationality of Lagrangian submanifold and reduction of the coefficient ring of Lagrangian Floer cohomology of thereof.
Keywords
Cite
@article{arxiv.0907.2122,
title = {Anchored Lagrangian submanifolds and their Floer theory},
author = {Kenji Fukaya and Yong-Geun Oh and Hiroshi Ohta and Kaoru Ono},
journal= {arXiv preprint arXiv:0907.2122},
year = {2009}
}
Comments
40 pages