Morse inequalities for noncompact manifolds
Geometric Topology
2025-02-10 v2 Algebraic Topology
Differential Geometry
Abstract
We establish Morse inequalities for a noncompact manifold with a cocompact and properly discontinuous action of a discrete group, where Morse functions are not necessarily invariant under the group action. The inequalities are given in terms of the -Betti numbers and functions on the acting group which describe rough configurations of critical points of a Morse function.
Cite
@article{arxiv.2411.04463,
title = {Morse inequalities for noncompact manifolds},
author = {Tsuyoshi Kato and Daisuke Kishimoto and Mitsunobu Tsutaya},
journal= {arXiv preprint arXiv:2411.04463},
year = {2025}
}
Comments
28 pages, the definition of a fundamental domain is modified