Instanton Floer homology for lens spaces

Details Instanton Floer homology for lens spaces Instanton Floer homology for lens spaces

2010-09-02

arxiv.org/abs/1009.0331v2

Mathematics

Geometric Topology

33 pages: an error in Section 4.2 is corrected: Section 4.3 and 4.4 are rewritten

Scientific paper

We construct instanton Floer homology for lens spaces $L(p,q)$. As an
application, we prove that $X = \CP^2 # \CP^2$ does not admit a decomposition
$X = X_1 \cup X_2$. Here $X_1$ and $X_2$ are oriented, simply connected,
non-spin 4-manifolds with $b^+ = 1$ and with boundary $L(p, 2)$, and $p$ is a
prime number of the form $16N+1$.

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