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- W2609276414 abstract "Fintushel and Stern showed that the Brieskorn sphere $Sigma(2,3,7)$ bounds a rational homology ball, while its non-trivial Rokhlin invariant obstructs it from bounding an integral homology ball. It is known that their argument can be modified to show that the figure-eight knot is rationally slice, and we use this fact to provide the first additional examples of Brieskorn spheres that bound rational homology balls but not integral homology balls: the families $Sigma(2,4n+1,12n+5)$ and $Sigma(3,3n+1,12n+5)$ for $n$ odd. We also provide handlebody diagrams for a rational homology ball containing a rationally slice disk for the figure-eight knot, as well as for a rational homology ball bounded by $Sigma(2,3,7)$. These handle diagrams necessarily contain 3-handles." @default.
- W2609276414 created "2017-05-05" @default.
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- W2609276414 date "2017-04-25" @default.
- W2609276414 modified "2023-09-27" @default.
- W2609276414 title "Brieskorn spheres bounding rational balls" @default.
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