Stable isotopy in four dimensions
Stable isotopy in four dimensions
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四个维度的稳定同位素
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Daniel Ruberman
中科院分区：
文献类型：
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作者：
D. Auckly;H. Kim;P. Melvin;Daniel Ruberman
我们在许多单连通4 -流形中构造了无限的拓扑同位素族，但光滑的不同结球，这些单连通4 -流形通过与S2×S2连接求和稳定后成为光滑的同位素，并因此得到了类似的微分同态族和这些4 -流形的正标量曲率度量。我们还构造了光滑不同链族，其对应的所有适当子链都是光滑同位素，稳定后成为光滑同位素。
We construct infinite families of topologically isotopic, but smoothly distinct knotted spheres, in many simply connected 4 ‐manifolds that become smoothly isotopic after stabilizing by connected summing with S2×S2 , and as a consequence, analogous families of diffeomorphisms and metrics of positive scalar curvature for such 4 ‐manifolds. We also construct families of smoothly distinct links, all of whose corresponding proper sublinks are smoothly isotopic, that become smoothly isotopic after stabilizing.