The disk complex and 2-bridge knots

2017/04/12 by Cho, Sangbum, Koda, Yuya
#57M25 #57M60 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1704.03658

Abstract

We give an alternative proof of a result of Kobayashi and Saeki that every genus one 1-bridge position of a non-trivial 2-bridge knot is a stabilization.

Related

• Classification of genus two knots which admit a (1,1) decomposition
• 2-knot homology and Yoshikawa move
• There are no unexpected tunnel number one knots of genus one
• Genus and fibredness of certain three-bridge links
• The average genus of a 2-bridge knot is asymptotically linear