Delocalized Betti numbers and Morse type inequalities
Differential Geometry
2008-08-01 v2 Analysis of PDEs
Abstract
In this paper we state and prove Morse type inequalities for Morse functions as well as for closed differential 1-forms. These inequalities involve delocalized Betti numbers. As an immediate consequence, we prove the vanishing of delocalized Betti numbers of manifolds fibering over the circle.
Keywords
Cite
@article{arxiv.0807.5115,
title = {Delocalized Betti numbers and Morse type inequalities},
author = {Mostafa Esfahani Zadeh},
journal= {arXiv preprint arXiv:0807.5115},
year = {2008}
}