Instanton Floer homology for lens spaces

H. Sasahira

Instanton Floer homology for lens spaces

Geometric Topology 2011-02-07 v2

Authors: H. Sasahira

Abstract

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 $16N+1$ .

Keywords

instanton Floer homology lens space 4-manifold decomposition non-spin manifold

Cite

@article{arxiv.1009.0331,
  title  = {Instanton Floer homology for lens spaces},
  author = {H. Sasahira},
  journal= {arXiv preprint arXiv:1009.0331},
  year   = {2011}
}

Comments

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

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