Monopole Floer homology for rational homology 3-spheres

Abstract

We give a new construction of monopole Floer homology for spin-c rational homology 3-spheres. As applications we define two invariants of certain smooth compact 4-manifolds with b_1=1 and b^+=0.

60 pages, to appear in Duke J. Math. v2: Minor improvements concerning orientations on pages 18-21. v3: Two new sections 4 and 14 have been added.

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