Mapping class groups of $h$-cobordant manifolds
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910015704530944 |
|---|---|
| author | Muñoz-Echániz, Samuel |
| author_facet | Muñoz-Echániz, Samuel |
| contents | We prove that the mapping class group is not an $h$-cobordism invariant of high-dimensional manifolds by exhibiting $h$-cobordant manifolds whose mapping class groups have different cardinalities. In order to do so, we introduce a moduli space of "$h$-block" bundles and understand its difference with the moduli space of ordinary block bundles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06573 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Mapping class groups of $h$-cobordant manifolds Muñoz-Echániz, Samuel Algebraic Topology Geometric Topology 57R80, 55R60, 57S05, 57N37, 57Q10 We prove that the mapping class group is not an $h$-cobordism invariant of high-dimensional manifolds by exhibiting $h$-cobordant manifolds whose mapping class groups have different cardinalities. In order to do so, we introduce a moduli space of "$h$-block" bundles and understand its difference with the moduli space of ordinary block bundles. |
| title | Mapping class groups of $h$-cobordant manifolds |
| topic | Algebraic Topology Geometric Topology 57R80, 55R60, 57S05, 57N37, 57Q10 |
| url | https://arxiv.org/abs/2210.06573 |