Surgery on Nullhomologous Tori and Simply

نویسنده

  • RONALD J. STERN
چکیده

In the past few years there has been significant progress on the problem of finding exotic smooth structures on the manifolds Pm = CP #mCP 2 . The initial step was taken by Jongil Park, [P], who found the first exotic smooth structure on P7, and whose ideas renewed the interest in this subject. Peter Ozsvath and Zoltan Szabo proved that Park’s manifold is minimal [OS], and Andras Stipsicz and Szabo used a technique similar to Park’s to construct an exotic structure on P6 [SS]. Shortly thereafter, the authors of this article developed a technique for producing infinite families of smooth structures on Pm, 6 ≤ m ≤ 8 [FS5], and Park, Stipsicz, and Szabo showed that this can be applied to the case m = 5 [PSS].

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تاریخ انتشار 2008