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Bulletin of the London Mathematical Society Advance Access published online on December 15, 2006
Bulletin of the London Mathematical Society, doi:10.1112/blms/bdl017
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© 2006 London Mathematical Society

Exotic smooth structures on 3CP2#8Formula

Jongil Park

Department of Mathematical Sciences, Seoul National University, San 56-1 Sillim-dong, Gwanak-gu, Seoul 151-747, Korea jipark{at}math.snu.ac.kr

Received 6 September 2005. Revision received 10 January 2006.

Motivated by Stipsicz and Szabó's exotic 4-manifolds with b2+=3 and b2–=8, we construct a family of simply connected smooth 4-manifolds with b2+=3 and b2–=8. As a corollary, we conclude that the topological 4-manifold 3CP2#8Formula admits infinitely many distinct smooth structures.


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 J TopologyHome page
A. Akhmedov, R. I. Baykur, and B. D. Park
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J Topology, April 1, 2008; 1(2): 409 - 428.
[Abstract] [PDF]


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