Milnor conjecture (knot theory)
Theorem that the slice genus of the (p, q) torus knot is (p-1)(q-1)/2
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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.[1] Jacob Rasmussen later gave a purely combinatorial proof using Khovanov homology, by means of the s-invariant.[2]
