Morse cohomology in a Hilbert space via the Conley Index
Differential Geometry
2014-08-05 v3
Abstract
Main theorem of this paper states that Floer cohomology groups in a Hilbert space are isomorphic to the cohomological Conley Index. It is also shown that calculating cohomological Conley Index does not require finite dimensional approximations of the vector field. Further directions are discussed.
Cite
@article{arxiv.1401.7811,
title = {Morse cohomology in a Hilbert space via the Conley Index},
author = {Maciej Starostka},
journal= {arXiv preprint arXiv:1401.7811},
year = {2014}
}
Comments
12 pages