具有奇交形式的Gluck扭4-流形
Gluck twisting 4-manifolds with odd intersection form
摘要：
当Gluck沿着2-球面$S\subset X$扭曲奇光滑4-流形时，我们给出了一个简单的判别准则.我们通过旋体技巧和plug扭曲操作得到了这个结果，得到了一个稍强的已知事实的版本，即在S的补空间中，紧致光滑4-流形的2-球面$S\subset X$的Gluck扭曲不改变X的反同态类型.这是关于具有奇同调类的Gluck扭流形的最好可能结果。
英文摘要：
We give a simple criterion when a Gluck twisting an odd smooth 4-manifold along a 2-sphere $S\subset X$ does not change its diffeomorphism type. We obtain this by handlebody techniques and plug twisting operation, getting a slightly stronger version of the known fact that Gluck twisting of a 2-sphere $S\subset X$ of a compact smooth 4-manifold with an odd spherical class, in the complement of S, does not change the diffeomorphism type of X. This is the best possible result on Gluck twisting manifolds with odd homology classes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
