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A lower bound for the double slice genus.
- Source :
-
Transactions of the American Mathematical Society . Apr2021, Vol. 374 Issue 4, p2541-2558. 18p. - Publication Year :
- 2021
-
Abstract
- In this paper, we develop a lower bound for the double slice genus of a knot using Casson-Gordon invariants. As an application, we show that the double slice genus can be arbitrarily larger than twice the slice genus. As an analogue to the double slice genus, we also define the superslice genus of a knot, and give both an upper bound and a lower bound in the topological category. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 374
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 149010259
- Full Text :
- https://doi.org/10.1090/tran/8191