b^+ = 1的4-流形上的风车和零同调手术
Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1
摘要:
本文提出了一种在标准四维流形中寻找嵌入的零同调环面的方法,该环面可以用来改变其光滑结构。作为应用,我们证明了如何得到满足b^+ = 1和b^- = 2,.的单连通光滑4-流形的无限族,7,通过对嵌入标准流形CP^2 # k(-CP^2),k=2,...,7.
英文摘要:
We present a method for finding embedded nullhomologous tori in standard 4-manifolds which can be utilized to change their smooth structure. As an application, we show how to obtain infinite families of simply connected smooth 4-manifolds with b^+ = 1 and b^- = 2,...,7, via surgery on nullhomologous tori embedded in the standard manifolds CP^2 # k (-CP^2), k=2,...,7.
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