Equivariant Morse-Bott cohomology through stabilization
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912841675571200 |
|---|---|
| author | Bao, Erkao Huq, Robi Ning, Shengzhen |
| author_facet | Bao, Erkao Huq, Robi Ning, Shengzhen |
| contents | For closed manifolds with compact Lie group actions, we study Austin-Braam's Morse-theoretic construction of Borel equivariant cohomology using the technique of stabilization. We show that a $C^1$-small equivariant perturbation produces stable invariant Morse-Bott functions. This allows us to realize the equivariant transversality and orientability assumptions in Austin-Braam's framework by choosing generic invariant Riemannian metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16119 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Equivariant Morse-Bott cohomology through stabilization Bao, Erkao Huq, Robi Ning, Shengzhen Differential Geometry Algebraic Topology Dynamical Systems Geometric Topology Symplectic Geometry For closed manifolds with compact Lie group actions, we study Austin-Braam's Morse-theoretic construction of Borel equivariant cohomology using the technique of stabilization. We show that a $C^1$-small equivariant perturbation produces stable invariant Morse-Bott functions. This allows us to realize the equivariant transversality and orientability assumptions in Austin-Braam's framework by choosing generic invariant Riemannian metrics. |
| title | Equivariant Morse-Bott cohomology through stabilization |
| topic | Differential Geometry Algebraic Topology Dynamical Systems Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2601.16119 |