Blanchfield pairings and Gordian distance
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866917809198465024 |
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| author | Friedl, Stefan Kitayama, Takahiro Suzuki, Masaaki |
| author_facet | Friedl, Stefan Kitayama, Takahiro Suzuki, Masaaki |
| contents | A lower bound of the Gordian distance is presented in terms of the Blanchfield pairing. Our approach, in particular, allows us to show at least for 195 pairs of unoriented nontrivial prime knots with up to 10 crossings that their Gordian distance is equal to 3, most of which are difficult to treat otherwise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_13327 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Blanchfield pairings and Gordian distance Friedl, Stefan Kitayama, Takahiro Suzuki, Masaaki Geometric Topology 57K10 (Primary), 57K31 (Secondary) A lower bound of the Gordian distance is presented in terms of the Blanchfield pairing. Our approach, in particular, allows us to show at least for 195 pairs of unoriented nontrivial prime knots with up to 10 crossings that their Gordian distance is equal to 3, most of which are difficult to treat otherwise. |
| title | Blanchfield pairings and Gordian distance |
| topic | Geometric Topology 57K10 (Primary), 57K31 (Secondary) |
| url | https://arxiv.org/abs/2208.13327 |