The nu+ equivalence class of genus one knots

Geometry Topology Seminar
Monday, March 4, 2019 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 154
Kouki Sato – University of Tokyo
Jennifer Hom
The nu+ equivalence is an equivalence relation on the knot concordance group. It is known that the equivalence can be seen as a certain stable equivalence on knot Floer complexes, and many concordance invariants derived from Heegaard Floer theory are invariant under the equivalence. In this talk, we show that any genus one knot is nu+ equivalent to one of the unknot, the trefoil and its mirror.