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Knots, volume 5 of De Gruyter Studies in Mathematics

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More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres

math.GT · 2025-07-04 · conditional · novelty 7.0

For every integer s, the branched double cover of the roll-spun Montesinos knot K(2,3,|6s+1|) is a homotopy 4-sphere, giving infinitely many exotic topologically unknotted RP^2-knots in S^4 with all odd Seiberg-Witten degrees.

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  • More Exotic $\mathbb{RP}^2$-knots and Homotopy Spheres math.GT · 2025-07-04 · conditional · none · ref 5

    For every integer s, the branched double cover of the roll-spun Montesinos knot K(2,3,|6s+1|) is a homotopy 4-sphere, giving infinitely many exotic topologically unknotted RP^2-knots in S^4 with all odd Seiberg-Witten degrees.