Volume 7, issue 4 (2007)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Reverse engineering small 4–manifolds

Ronald Fintushel, B Doug Park and Ronald J Stern

Algebraic & Geometric Topology 7 (2007) 2103–2116

arXiv: math.GT/0701846

Abstract

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 2#3¯2.

Keywords
4–manifolds, Seiberg–Witten invariants
Mathematical Subject Classification 2000
Primary: 57R57, 57R57, 57R55
Secondary: 14J26, 53D05
References
Publication
Received: 14 August 2007
Revised: 14 October 2007
Accepted: 14 November 2007
Published: 26 December 2007
Authors
Ronald Fintushel
Department of Mathematics
Michigan State University
East Lansing MI 48824
USA
http://www.mth.msu.edu/~ronfint/
B Doug Park
Department of Pure Mathematics
University of Waterloo
Waterloo
Ontario N2L 3G1
Canada
http://www.math.uwaterloo.ca/~bdpark/
Ronald J Stern
Department of Mathematics
University of California
Irvine CA 92697-3875
USA
http://math.uci.edu/~rstern/