On the mapping class groups of 4-manifolds with 1-handles
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913658991280128 |
|---|---|
| author | Lin, Jianfeng Xie, Yi Zhang, Boyu |
| author_facet | Lin, Jianfeng Xie, Yi Zhang, Boyu |
| contents | We develop a framework that generalizes Budney-Gabai's $W_3$ invariant on $π_0\textrm{Diff}(S^1\times D^3,\partial)$ to 4-manifolds with 1-handles. As applications, we show that if $M=(S^1\times D^3)\natural \hat M$ where $\hat M$ either has the form $I\times Y$ or is a punctured aspherical manifold, then the center of the mapping class group of $M$ is of infinite rank. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11821 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the mapping class groups of 4-manifolds with 1-handles Lin, Jianfeng Xie, Yi Zhang, Boyu Geometric Topology 57K40, 57R52, 57R50 We develop a framework that generalizes Budney-Gabai's $W_3$ invariant on $π_0\textrm{Diff}(S^1\times D^3,\partial)$ to 4-manifolds with 1-handles. As applications, we show that if $M=(S^1\times D^3)\natural \hat M$ where $\hat M$ either has the form $I\times Y$ or is a punctured aspherical manifold, then the center of the mapping class group of $M$ is of infinite rank. |
| title | On the mapping class groups of 4-manifolds with 1-handles |
| topic | Geometric Topology 57K40, 57R52, 57R50 |
| url | https://arxiv.org/abs/2501.11821 |