Exotic $\mathbb{R}^4$'s with Compactly Supported Diffeomorphisms
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908477728751616 |
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| author | Shivkumar, Abhishek |
| author_facet | Shivkumar, Abhishek |
| contents | We construct exotic copies of $\mathbb{R}^4$ with nontrivial compactly supported mapping class groups of arbitrarily large rank. This follows from a modification of the construction of the diffeomorphism corks of arXiv:2407.04696 that makes their exteriors simply-connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exotic $\mathbb{R}^4$'s with Compactly Supported Diffeomorphisms Shivkumar, Abhishek Geometric Topology 57K40, 57K41 We construct exotic copies of $\mathbb{R}^4$ with nontrivial compactly supported mapping class groups of arbitrarily large rank. This follows from a modification of the construction of the diffeomorphism corks of arXiv:2407.04696 that makes their exteriors simply-connected. |
| title | Exotic $\mathbb{R}^4$'s with Compactly Supported Diffeomorphisms |
| topic | Geometric Topology 57K40, 57K41 |
| url | https://arxiv.org/abs/2508.02017 |