### The nu+ equivalence class of genus one knots

- Series
- Geometry Topology Seminar
- Time
- Monday, March 4, 2019 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 154
- Speaker
- Kouki Sato – University of Tokyo

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.