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- W3172337659 abstract "We show that the problem of determining whether a knot in the 3-sphere is non-trivial lies in NP. This is a consequence of the following more general result. The problem of determining whether the Thurston norm of a second homology class in a compact orientable irreducible 3-manifold with (possibly empty) toroidal boundary is equal to a given integer is in NP. As a corollary, the problem of determining the genus of a knot in the 3-sphere is in NP." @default.
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- W3172337659 date "2021-08-01" @default.
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- W3172337659 title "The efficient certification of knottedness and Thurston norm" @default.
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- W3172337659 doi "https://doi.org/10.1016/j.aim.2021.107796" @default.
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