Boundary Dehn twists on Milnor fibers and Family Bauer--Furuta invariants
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909370398277632 |
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| author | Miyazawa, Jin |
| author_facet | Miyazawa, Jin |
| contents | We proved that the boundary Dehn twist on the Milnor fiber $M_c(2, q, r)$ is an exotic diffeomorphism relative to the boundary if $q, r$ are odd, coprime integers bigger than $3$ and $(q-1)(r-1)/4$ is an odd number. The proof is given by comparing the family relative Bauer--Furuta invariants of the mapping torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21742 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundary Dehn twists on Milnor fibers and Family Bauer--Furuta invariants Miyazawa, Jin Geometric Topology We proved that the boundary Dehn twist on the Milnor fiber $M_c(2, q, r)$ is an exotic diffeomorphism relative to the boundary if $q, r$ are odd, coprime integers bigger than $3$ and $(q-1)(r-1)/4$ is an odd number. The proof is given by comparing the family relative Bauer--Furuta invariants of the mapping torus. |
| title | Boundary Dehn twists on Milnor fibers and Family Bauer--Furuta invariants |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2410.21742 |