Resumen de The v+-equivalence classes of genus one knots

Kouki Sato

• The ν+-equivalence is an equivalence relation on the knot concordance group. This relation can be seen as a certain stable equivalence on knot Floer complexes CFK ∞, and many concordance invariants derived from Heegaard Floer theory are invariant under the relation. In this paper, we show that any genus one knot is ν+-equivalent to one of the trefoil, its mirror and the unknot.