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Kirby diagrams for an infinite family of exotic $\mathbb{R}^4$'s

math.GT · 2026-04-09 · accept · novelty 6.0

Explicit Kirby diagrams are constructed for infinite families of exotic R^4's from Casson handle attachments to ribbon knot complements T_{2,n}#T_{2,-n} (odd n>=3) and pretzel knots P(n,-n,2k), with equivalence shown between two families.

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  • Kirby diagrams for an infinite family of exotic $\mathbb{R}^4$'s math.GT · 2026-04-09 · accept · none · ref 6

    Explicit Kirby diagrams are constructed for infinite families of exotic R^4's from Casson handle attachments to ribbon knot complements T_{2,n}#T_{2,-n} (odd n>=3) and pretzel knots P(n,-n,2k), with equivalence shown between two families.