Back to Search Start Over

Classification of Abe-Tange's ribbon knots

Authors :
Hideo Takioka
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