Equivariant Spectral Flow and Equivariant $η$-invariants on Manifolds With Boundary
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910451373178880 |
|---|---|
| author | Lim, Johnny Wang, Hang |
| author_facet | Lim, Johnny Wang, Hang |
| contents | In this article, we study several closely related invariants associated to Dirac operators on odd-dimensional manifolds with boundary with an action of the compact group $H$ of isometries. In particular, the equality between equivariant winding numbers, equivariant spectral flow, and equivariant Maslov indices is established. We also study equivariant $η$-invariants which play a fundamental role in the equivariant analog of Getzler's spectral flow formula. As a consequence, we establish a relation between equivariant $η$-invariants and equivariant Maslov triple indices in the splitting of manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_01890 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Equivariant Spectral Flow and Equivariant $η$-invariants on Manifolds With Boundary Lim, Johnny Wang, Hang Differential Geometry 58J28, 58J30, 58J32 In this article, we study several closely related invariants associated to Dirac operators on odd-dimensional manifolds with boundary with an action of the compact group $H$ of isometries. In particular, the equality between equivariant winding numbers, equivariant spectral flow, and equivariant Maslov indices is established. We also study equivariant $η$-invariants which play a fundamental role in the equivariant analog of Getzler's spectral flow formula. As a consequence, we establish a relation between equivariant $η$-invariants and equivariant Maslov triple indices in the splitting of manifolds. |
| title | Equivariant Spectral Flow and Equivariant $η$-invariants on Manifolds With Boundary |
| topic | Differential Geometry 58J28, 58J30, 58J32 |
| url | https://arxiv.org/abs/2101.01890 |