Complexities of 3-manifolds from triangulations, Heegard splittings, and surgery presentations. (10th October 2017)
- Record Type:
- Journal Article
- Title:
- Complexities of 3-manifolds from triangulations, Heegard splittings, and surgery presentations. (10th October 2017)
- Main Title:
- Complexities of 3-manifolds from triangulations, Heegard splittings, and surgery presentations
- Authors:
- Cha, Jae Choon
- Abstract:
- Abstract: We study complexities of 3-manifolds defined from triangulations, Heegaard splittings, and surgery presentations. We show that these complexities are related by linear inequalities, by presenting explicit geometric constructions. We also show that our linear inequalities are asymptotically optimal. Our results are used in another paper of the author to estimate Cheeger-Gromov L 2 ρ -invariants in terms of geometric group theoretic and knot theoretic data.
- Is Part Of:
- Quarterly journal of mathematics. Volume 69:Part 2(2018:Jun.)
- Journal:
- Quarterly journal of mathematics
- Issue:
- Volume 69:Part 2(2018:Jun.)
- Issue Display:
- Volume 69, Issue 2, Part 2 (2018)
- Year:
- 2018
- Volume:
- 69
- Issue:
- 2
- Part:
- 2
- Issue Sort Value:
- 2018-0069-0002-0002
- Page Start:
- 425
- Page End:
- 442
- Publication Date:
- 2017-10-10
- Subjects:
- Mathematics -- Periodicals
510 - Journal URLs:
- http://qjmath.oxfordjournals.org/ ↗
http://www3.oup.co.uk/qmathj/ ↗
http://ukcatalogue.oup.com/ ↗ - DOI:
- 10.1093/qmath/hax041 ↗
- 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:
- 12126.xml