Lens spaces, rational balls and the ribbon conjecture
Lens spaces, rational balls and the ribbon conjecture
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透镜空间、有理球和丝带猜想
DOI：
10.2140/gt.2007.11.429
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发表时间：
2007
影响因子：
2
通讯作者：
P. Lisca
中科院分区：
文献类型：
--
作者：
P. Lisca
应用定4流形交点形式的Donaldson定理，对光滑约束有理同调四维球的透镜空间进行了刻画。特别地，我们的结果表明，每一个光滑切片的2桥结都是带状的，证明了2桥结的带状猜想。
We apply Donaldson's theorem on the intersection forms of definite 4-manifolds to characterize the lens spaces which smoothly bound rational homology 4-dimensional balls. Our result implies, in particular, that every smoothly slice 2-bridge knot is ribbon, proving the ribbon conjecture for 2-bridge knots.