The Dehn twist on a sum of two K3 surfaces
Ruberman gave the first examples of self-diffeomorphisms of fourmanifolds that are isotopic to the identity in the topological category but not smoothly so. We give another example of this phenomenon, using the Dehn twist along a 3-sphere in the connected sum of two K3 surfaces.
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
International Press of Boston
2021
|
| Online Access: | https://hdl.handle.net/1721.1/133377 |
| _version_ | 1811096158502649856 |
|---|---|
| author | Kronheimer, PB Mrowka, TS |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kronheimer, PB Mrowka, TS |
| author_sort | Kronheimer, PB |
| collection | MIT |
| description | Ruberman gave the first examples of self-diffeomorphisms of fourmanifolds that are isotopic to the identity in the topological category but not smoothly so. We give another example of this phenomenon, using the Dehn twist along a 3-sphere in the connected sum of two K3 surfaces. |
| first_indexed | 2024-09-23T16:39:02Z |
| format | Article |
| id | mit-1721.1/133377 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:39:02Z |
| publishDate | 2021 |
| publisher | International Press of Boston |
| record_format | dspace |
| spelling | mit-1721.1/1333772023-01-09T21:29:14Z The Dehn twist on a sum of two K3 surfaces Kronheimer, PB Mrowka, TS Massachusetts Institute of Technology. Department of Mathematics Ruberman gave the first examples of self-diffeomorphisms of fourmanifolds that are isotopic to the identity in the topological category but not smoothly so. We give another example of this phenomenon, using the Dehn twist along a 3-sphere in the connected sum of two K3 surfaces. 2021-10-27T19:52:26Z 2021-10-27T19:52:26Z 2020 2021-05-25T13:46:55Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/133377 en 10.4310/MRL.2020.V27.N6.A8 Mathematical Research Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf International Press of Boston arXiv |
| spellingShingle | Kronheimer, PB Mrowka, TS The Dehn twist on a sum of two K3 surfaces |
| title | The Dehn twist on a sum of two K3 surfaces |
| title_full | The Dehn twist on a sum of two K3 surfaces |
| title_fullStr | The Dehn twist on a sum of two K3 surfaces |
| title_full_unstemmed | The Dehn twist on a sum of two K3 surfaces |
| title_short | The Dehn twist on a sum of two K3 surfaces |
| title_sort | dehn twist on a sum of two k3 surfaces |
| url | https://hdl.handle.net/1721.1/133377 |
| work_keys_str_mv | AT kronheimerpb thedehntwistonasumoftwok3surfaces AT mrowkats thedehntwistonasumoftwok3surfaces AT kronheimerpb dehntwistonasumoftwok3surfaces AT mrowkats dehntwistonasumoftwok3surfaces |