NameMasayuki Matsuo
AffiliationKobe University
Talk typeSession
TimeJan 9 16:20~16:40
LocationE11-102
TitlePage moves on arc presentations
Abstract
Cromwell introduces the notion of an arc presentation of a knot. An arc presentation is an embedding of a knot in an open-book. We define a transformation on an arc presentation called a page move, and prove that any knot is transformed into the trivial knot by a single page move. We also study a relationship with the unknotting number.
Slide102-1-9/matsuo.pdf