COMPLEXITIES OF 3-MANIFOLDS FROM TRIANGULATIONS, HEEGAARD SPLITTINGS AND SURGERY PRESENTATIONS
SCIE
SCOPUS
- Title
- COMPLEXITIES OF 3-MANIFOLDS FROM TRIANGULATIONS, HEEGAARD SPLITTINGS AND SURGERY PRESENTATIONS
- Authors
- Cha, Jae Choon
- Date Issued
- 2018-06
- Publisher
- OXFORD UNIV PRESS
- 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 rho-invariants in terms of geometric group theoretic and knot theoretic data.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/94517
- DOI
- 10.1093/qmath/hax041
- ISSN
- 0033-5606
- Article Type
- Article
- Citation
- QUARTERLY JOURNAL OF MATHEMATICS, vol. 69, no. 2, page. 425 - 442, 2018-06
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