Morse inequalities for noncompact manifolds
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917915958181888 |
|---|---|
| author | Kato, Tsuyoshi Kishimoto, Daisuke Tsutaya, Mitsunobu |
| author_facet | Kato, Tsuyoshi Kishimoto, Daisuke Tsutaya, Mitsunobu |
| contents | 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 $L^2$-Betti numbers and functions on the acting group which describe rough configurations of critical points of a Morse function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04463 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Morse inequalities for noncompact manifolds Kato, Tsuyoshi Kishimoto, Daisuke Tsutaya, Mitsunobu Geometric Topology Algebraic Topology Differential Geometry 57R19, 58E05 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 $L^2$-Betti numbers and functions on the acting group which describe rough configurations of critical points of a Morse function. |
| title | Morse inequalities for noncompact manifolds |
| topic | Geometric Topology Algebraic Topology Differential Geometry 57R19, 58E05 |
| url | https://arxiv.org/abs/2411.04463 |