Milnor conjecture (knot theory)

In knot theory, the Milnor conjecture says that the slice genus of the torus knot is

It is in a similar vein to the Thom conjecture.

The conjecture (named after John Milnor) was first proved by gauge theoretic methods by Peter Kronheimer and Tomasz Mrowka.. Jacob Rasmussen later gave a purely combinatorial proof using Khovanov homology, by means of the s-invariant.

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