Instantons and some concordance invariants of knots
Concordance invariants of knots are derived from the instanton homology groups with local coefficients, as introduced in earlier work of the authors. These concordance invariants include a 1-parameter family of homomorphisms (Formula presented.), from the knot concordance group to (Formula presented...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021
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| Online Access: | https://hdl.handle.net/1721.1/135347 |
| _version_ | 1811097192665972736 |
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| author | Kronheimer, PB Mrowka, TS |
| author_facet | Kronheimer, PB Mrowka, TS |
| author_sort | Kronheimer, PB |
| collection | MIT |
| description | Concordance invariants of knots are derived from the instanton homology groups with local coefficients, as introduced in earlier work of the authors. These concordance invariants include a 1-parameter family of homomorphisms (Formula presented.), from the knot concordance group to (Formula presented.). Prima facie, these concordance invariants have the potential to provide independent bounds on the genus and number of double points for immersed surfaces with boundary a given knot. |
| first_indexed | 2024-09-23T16:55:49Z |
| format | Article |
| id | mit-1721.1/135347 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:55:49Z |
| publishDate | 2021 |
| publisher | Wiley |
| record_format | dspace |
| spelling | mit-1721.1/1353472021-10-28T03:04:55Z Instantons and some concordance invariants of knots Kronheimer, PB Mrowka, TS Concordance invariants of knots are derived from the instanton homology groups with local coefficients, as introduced in earlier work of the authors. These concordance invariants include a 1-parameter family of homomorphisms (Formula presented.), from the knot concordance group to (Formula presented.). Prima facie, these concordance invariants have the potential to provide independent bounds on the genus and number of double points for immersed surfaces with boundary a given knot. 2021-10-27T20:23:04Z 2021-10-27T20:23:04Z 2021 2021-05-25T13:49:23Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135347 en 10.1112/jlms.12439 Journal of the London Mathematical Society Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Wiley arXiv |
| spellingShingle | Kronheimer, PB Mrowka, TS Instantons and some concordance invariants of knots |
| title | Instantons and some concordance invariants of knots |
| title_full | Instantons and some concordance invariants of knots |
| title_fullStr | Instantons and some concordance invariants of knots |
| title_full_unstemmed | Instantons and some concordance invariants of knots |
| title_short | Instantons and some concordance invariants of knots |
| title_sort | instantons and some concordance invariants of knots |
| url | https://hdl.handle.net/1721.1/135347 |
| work_keys_str_mv | AT kronheimerpb instantonsandsomeconcordanceinvariantsofknots AT mrowkats instantonsandsomeconcordanceinvariantsofknots |