Heegaard Floer correction terms, with a twist

Stefan Behrens, Marco Golla

Research output: Contribution to journalArticleAcademic

Abstract

We use Heegaard Floer homology with twisted coefficients to define numerical invariants for arbitrary closed 3-manifolds equipped torsion spinc structures, generalising the correction terms (or d--invariants) defined by Ozsv\'ath and Szab\'o for integer 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.
Original languageEnglish
JournalarXiv.org
Publication statusPublished - 26 Sept 2016

Keywords

  • math.GT

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