Display title | Milnor conjecture (topology) |
Default sort key | Milnor conjecture (topology) |
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Date of page creation | 19:43, 6 February 2024 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | In knot theory, the Milnor conjecture says that the slice genus of the $ (p,q) $ torus knot is
$ (p-1)(q-1)/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. Jacob Rasmussen later gave a purely combinatorial proof... |