Soft construction of Floer-type homologies
Differential Geometry
2020-01-16 v1 Algebraic Topology
Symplectic Geometry
Abstract
Floer homology is a good example of homological invariants living in the infinite dimension. We suggest a way to construct this kind of invariants using only soft essentially finite-dimensional tools; no hard analysis or PDE is involved. This work is partially inspired by the M. Gromov's survey ``Soft and hard symplectic geometry'' at ICM-86.
Cite
@article{arxiv.2001.05440,
title = {Soft construction of Floer-type homologies},
author = {Andrei Agrachev},
journal= {arXiv preprint arXiv:2001.05440},
year = {2020}
}