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Classification of Abe-Tange's ribbon knots
- Source :
- Topology and its Applications. 264:27-50
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- Abe and Tange constructed a sequence of slice disks with the same exterior. Moreover, they showed that these slice disks are ribbon disks. We call the boundaries of the ribbon disks Abe-Tange's ribbon knots. In this paper, we classify Abe-Tange's ribbon knots completely by the Γ-polynomial. Therefore, we see that all ribbon disks in the sequence are mutually inequivalent.
Details
- ISSN :
- 01668641
- Volume :
- 264
- Database :
- OpenAIRE
- Journal :
- Topology and its Applications
- Accession number :
- edsair.doi...........975893c0ceb1251cedb31605d6694fa4