Splitting Numbers of Links. Issue 3 (3rd January 2017)
- Record Type:
- Journal Article
- Title:
- Splitting Numbers of Links. Issue 3 (3rd January 2017)
- Main Title:
- Splitting Numbers of Links
- Authors:
- Cha, Jae Choon
Friedl, Stefan
Powell, Mark - Abstract:
- Abstract: The splitting number of a link is the minimal number of crossing changes between different components required, on any diagram, to convert it to a split link. We introduce new techniques to compute the splitting number, involving covering links and Alexander invariants. As an application, we completely determine the splitting numbers of links with nine or fewer crossings. Also, with these techniques, we either reprove or improve upon the lower bounds for splitting numbers of links computed by Batson and Seed using Khovanov homology.
- Is Part Of:
- Proceedings of the Edinburgh Mathematical Society. Volume 60:Issue 3(2017)
- Journal:
- Proceedings of the Edinburgh Mathematical Society
- Issue:
- Volume 60:Issue 3(2017)
- Issue Display:
- Volume 60, Issue 3 (2017)
- Year:
- 2017
- Volume:
- 60
- Issue:
- 3
- Issue Sort Value:
- 2017-0060-0003-0000
- Page Start:
- 587
- Page End:
- 614
- Publication Date:
- 2017-01-03
- Subjects:
- splitting numbers of links, -- covering links, -- Alexander polynomial
Primary 57M25, -- 57M27, -- 57N70
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=PEM ↗
- DOI:
- 10.1017/S0013091516000420 ↗
- Languages:
- English
- ISSNs:
- 0013-0915
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library STI - ELD Digital store
- Ingest File:
- 2910.xml