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http://dx.doi.org/10.4134/BKMS.2010.47.5.961

EXOTIC SMOOTH STRUCTURES ON (2n + 2l - 1)CP2  

Park, Jong-Il (DEPARTMENT OF MATHEMATICAL SCIENCES SEOUL NATIONAL UNIVERSITY)
Yun, Ki-Heon (DEPARTMENT OF MATHEMATICS SUNGSHIN WOMEN'S UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 961-971 More about this Journal
Abstract
As an application of 'reverse engineering' technique introduced by R. Fintushel, D. Park and R. Stern [9], we present a simple way to construct an infinite family of exotic (2n+2l-1)$\mathbb{CP}^2#$(2n+4l-1)$\overline{\mathbb{CP}}^2$'s for all $n\;{\geq}\;0$, $l\;{\geq}\;1$.
Keywords
exotic smooth structure; Luttinger surgery; symplectic ber sum;
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