Topological rigidity of quoric manifolds
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909878672424960 |
|---|---|
| author | Gkeneralis, I. Prassidis, S. |
| author_facet | Gkeneralis, I. Prassidis, S. |
| contents | Quoric manifolds are the quaternionic analogue of toric manifolds. They admit a locally nice action of $(S^3)^n$ and the quotient is a manifold with corners. We show that they satisfy equivariant rigidity. More precisely, any locally linear $(S^3)^n$-manifold that it is equivariantly homotopic equivalent to a quoric manifold is equivariantly homeomorphic to it. The proof is given by generalising the methods of used in Coxeter and toric manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00948 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological rigidity of quoric manifolds Gkeneralis, I. Prassidis, S. Algebraic Topology 57S25, 57R18, 20C99 Quoric manifolds are the quaternionic analogue of toric manifolds. They admit a locally nice action of $(S^3)^n$ and the quotient is a manifold with corners. We show that they satisfy equivariant rigidity. More precisely, any locally linear $(S^3)^n$-manifold that it is equivariantly homotopic equivalent to a quoric manifold is equivariantly homeomorphic to it. The proof is given by generalising the methods of used in Coxeter and toric manifolds. |
| title | Topological rigidity of quoric manifolds |
| topic | Algebraic Topology 57S25, 57R18, 20C99 |
| url | https://arxiv.org/abs/2310.00948 |