Milnor conjecture (knot theory)

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Template:Short description Template:Otheruses In knot theory, the Milnor conjecture says that the slice genus of the (p,q) torus knot is

(p1)(q1)/2.

It is in a similar vein to the Thom conjecture.

It was first proved by gauge theoretic methods by Peter Kronheimer and Tomasz Mrowka.[1] Jacob Rasmussen later gave a purely combinatorial proof using Khovanov homology, by means of the s-invariant.[2]

References

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