Murakami and Yasuhara's sharpness conjecture for the non-orientable slice genus
Murakami and Yasuhara's sharpness conjecture for the non-orientable slice genus
Let be a knot, let denote its smooth orientable slice genus, and let denote its smooth non-orientable slice genus. A knot is non-slice if . Murakami and Yasuhara's conjecture. There exists a non-slice knot such that
Murakami and Yasuhara proved the general inequality ; the conjecture asks whether this bound is attained by some non-slice knot.
Sources & referencesView supporting material
Primary source
Stanislav Jabuka and Tynan Kelly, “The non-orientable 4-genus for knots with 8 or 9 crossings”, arXiv:1708.03000 (2020).
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