Reverse engineering small 4-manifolds

Details Reverse engineering small 4-manifolds Reverse engineering small 4-manifolds

2007-01-29

arxiv.org/abs/math/0701846v6

Mathematics

Geometric Topology

13 pages, 2 figures. This is the final version published in AGT, volume 7 (2007), pp. 2103-2116.

Scientific paper

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
CP^2#3(-CP^2).

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