A Note on the Concordance Invariant Epsilon. (17th July 2021)
- Record Type:
- Journal Article
- Title:
- A Note on the Concordance Invariant Epsilon. (17th July 2021)
- Main Title:
- A Note on the Concordance Invariant Epsilon
- Authors:
- Wang, Shida
- Abstract:
- Abstract: We compare the smooth concordance invariants Upsilon, phi and epsilon. Previous work gave examples of knots with one of the Upsilon and phi invariants zero but the epsilon invariant nonzero. We build an infinite family of linearly independent knots with both the Upsilon and phi invariants zero but the epsilon invariant nonzero. This provides examples of knots with arbitrarily large concordance genus but vanishing bounds from the Upsilon and phi invariants.
- Is Part Of:
- Quarterly journal of mathematics. Volume 73:Part 1(2022)
- Journal:
- Quarterly journal of mathematics
- Issue:
- Volume 73:Part 1(2022)
- Issue Display:
- Volume 73, Issue 1, Part 1 (2022)
- Year:
- 2022
- Volume:
- 73
- Issue:
- 1
- Part:
- 1
- Issue Sort Value:
- 2022-0073-0001-0001
- Page Start:
- 333
- Page End:
- 347
- Publication Date:
- 2021-07-17
- Subjects:
- Mathematics -- Periodicals
510 - Journal URLs:
- http://qjmath.oxfordjournals.org/ ↗
http://www3.oup.co.uk/qmathj/ ↗
http://ukcatalogue.oup.com/ ↗ - DOI:
- 10.1093/qmath/haab033 ↗
- Languages:
- English
- ISSNs:
- 0033-5606
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 7192.000000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 20727.xml