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An exotic 5RP^2 in the 4-sphere

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arxiv 2312.03617 v2 pith:2ZGB763F submitted 2023-12-06 math.GT math.AG

Gordana Matić , Feri̇t Öztürk , Javier Reyes , András I. Stipsicz , Giancarlo Urzúa This is my paper · ORCID
classification math.GTmath.AG
keywords smoothlystandardcopyembeddedembeddingexampleexoticfour-sphere
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We show an example of an embedded copy of 5RP^2 in the four-sphere which is topologically standard but smoothly knotted, i.e. smoothly not isotopic to the standard embedding.

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

    math.GT 2025-07 conditional novelty 7.0 of 10

    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...

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