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Bulletin of the London Mathematical Society Advance Access originally published online on December 15, 2006
Bulletin of the London Mathematical Society 2007 39(1):95-102; doi:10.1112/blms/bdl017
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© 2006 London Mathematical Society

Exotic smooth structures on Formula

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 Formula admits infinitely many distinct smooth structures.


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 J TopologyHome page
A. Akhmedov, R. I. Baykur, and B. D. Park
Constructing infinitely many smooth structures on small 4-manifolds
J Topology, April 1, 2008; 1(2): 409 - 428.
[Abstract] [PDF]


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