Abstract
Floer constructed instanton homology for integral homology three-spheres. In this paper, we extend instanton Floer homology to lens spaces L(p, q). Moreover we show a gluing formula for a variant of Donaldson invariant along lens spaces. As an application, we prove that X= ℂℙ2#ℂℙ2 does not admit a decomposition X=X1∪X2. Here X1 and X2 are oriented, simply connected, non-spin four-manifolds with b+ = 1 and with boundary L(p, 2), and p is a prime number of the form 16N + 1.
Original language | English |
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Pages (from-to) | 237-281 |
Number of pages | 45 |
Journal | Mathematische Zeitschrift |
Volume | 273 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Feb 2013 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Mathematics(all)