Exchange moves and non-conjugate braid representatives of links

Seminar/Forum

Evan Williams
Peter Hall
Monash Road

Map

More information

ting.xue@unimelb.edu.au

We prove that under fairly general conditions an iterated exchange move gives infinitely many non-conjugate braid representatives of links. As a consequence, every knot has infinitely many conjugacy classes of n-braid representatives if and only if it has one admitting an exchange move. We discuss a project to give some fairly general conditions on the linking numbers of a link, so that it has infinitely many conjugacy classes of n-braid representatives if and only if it has one admitting an exchange move.

Presenter

  •  Alexander  Stoimenov
    Alexander Stoimenov, Gwankju Institute of Science and Technology