Heegaard Floer correction terms, with a twist

  • Stefan Behrens

    Universität Bielefeld, Germany
  • Marco Golla

    Université de Nantes, France


We use Heegaard Floer homology with twisted coefficients to define numerical invariants for arbitrary closed 3-manifolds equipped torsion spin structures, generalising the correction terms (or -invariants) defined by Ozsváth and Szabó for rational homology 3-spheres and, more generally, for 3-manifolds with standard HF. Our twisted correction terms share many properties with their untwisted analogues. In particular, they provide restrictions on the topology of 4-manifolds bounding a given 3-manifold.

Cite this article

Stefan Behrens, Marco Golla, Heegaard Floer correction terms, with a twist. Quantum Topol. 9 (2018), no. 1, pp. 1–37

DOI 10.4171/QT/102