Borodzik, Maciej and Friedl, Stefan and Powell, Mark (2016) Blanchfield forms and Gordian distance. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68 (3). pp. 1047-1080. ISSN 0025-5645,
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Given a link in S-3 we will use invariants derived from the Alexander module and the Blanchfield pairing to obtain lower bounds on the Gordian distance between links, the unlinking number and various splitting numbers. These lower bounds generalise results recently obtained by Kawauchi. We give an application restricting the knot types which can arise from a sequence of splitting operations on a link. This allows us to answer a question asked by Colin Adams in 1996.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COVERING LINK CALCULUS; BOUNDARY LINKS; WHITNEY TOWERS; INVARIANTS; CONCORDANCE; UNLINKING; NUMBER; COBORDISMS; link; unlinking number; splitting number; Alexander module; Blanchfield pairing |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Apr 2019 05:17 |
| Last Modified: | 03 Apr 2019 05:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3663 |
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