The bipolar filtration of topologically slice knots
SCIE
SCOPUS
- Title
- The bipolar filtration of topologically slice knots
- Authors
- Cha, Jae Choon; Kim, Min Hoon
- Date Issued
- 2021-09
- Publisher
- Academic Press
- Abstract
- The bipolar filtration of Cochran, Harvey and Horn presents a framework of the study of deeper structures in the smooth concordance group of topologically slice knots. We show that the graded quotient of the bipolar filtration of topologically slice knots has infinite rank at each stage greater than one. To detect nontrivial elements in the quotient, the proof simultaneously uses higher order amenable Cheeger-Gromov L-2 rho-invariants and infinitely many Heegaard Floer correction term d-invariants. (C) 2021 Elsevier Inc. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/110309
- DOI
- 10.1016/j.aim.2021.107868
- ISSN
- 0001-8708
- Article Type
- Article
- Citation
- Advances in Mathematics, vol. 388, 2021-09
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