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Journal of Topology Advance Access published online on October 28, 2007
Journal of Topology, doi:10.1112/jtopol/jtm003
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© 2007 London Mathematical Society

Surgery on nullhomologous tori and simply connected 4-manifolds with b+ = 1

Ronald Fintushel

Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA, ronfint{at}math.msu.edu

Ronald J. Stern

Department of Mathematics, University of California, Irvine, CA 92697, USA rstern{at}uci.edu


  Abstract

For 5 ≤ k ≤ 8, we show that an infinite family of exotic smooth structures on CP2#kFormula2 can be obtained by 1/n-surgeries on a single embedded nullhomologous torus in a manifold Rk which is homeomorphic to CP2#kFormula2.

Received January 18, 2007.

2000 Mathematics Subject Classification 57R55 (primary), 57R57 (secondary)

The first author was partially supported by NSF Grant DMS0305818 and the second author by NSF Grant DMS0505080.


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