Geodesic
Reverse engineering small 4–manifolds
Fintushel, Ronald1 ; Park, B Doug2 ; Stern, Ronald J3
1Department of Mathematics, Michigan State University, East Lansing MI 48824, USA
2Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
3Department of Mathematics, University of California, Irvine CA 92697-3875, USA
Algebraic and Geometric Topology, Tome 7 (2007) no. 4, pp. 2103-2116
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We introduce a general procedure called ‘reverse engineering’ that can be used to construct infinite families of smooth 4–manifolds in a given homeomorphism type. As one of the applications of this technique, we produce an infinite family of pairwise nondiffeomorphic 4–manifolds homeomorphic to ℂℙ2#3ℂℙ¯2.

DOI : 10.2140/agt.2007.7.2103
Keywords: 4–manifolds, Seiberg–Witten invariants

Fintushel, Ronald  1   ; Park, B Doug  2   ; Stern, Ronald J  3

1 Department of Mathematics, Michigan State University, East Lansing MI 48824, USA
2 Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
3 Department of Mathematics, University of California, Irvine CA 92697-3875, USA 
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Fintushel, Ronald; Park, B Doug; Stern, Ronald J. Reverse engineering small 4–manifolds. Algebraic and Geometric Topology, Tome 7 (2007) no. 4, pp. 2103-2116. doi: 10.2140/agt.2007.7.2103

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