English

Monopole Floer homology for rational homology 3-spheres

Differential Geometry 2019-12-19 v4 Geometric Topology

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.

Keywords

Cite

@article{arxiv.0809.4842,
  title  = {Monopole Floer homology for rational homology 3-spheres},
  author = {Kim A. Froyshov},
  journal= {arXiv preprint arXiv:0809.4842},
  year   = {2019}
}

Comments

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.