Heegaard Floer correction terms, with a twist

Stefan Behrens; Marco Golla

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arXiv · 1505.07401

Heegaard Floer correction terms, with a twist

Stefan Behrens·Marco Golla

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Abstract

We use Heegaard Floer homology with twisted coefficients to define numerical invariants for arbitrary closed 3-manifolds equipped torsion spin$^c$ 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 ${\rm HF}^\infty$. 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.

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Stefan Behrens, Marco Golla. 2015-05-27. Heegaard Floer correction terms, with a twist. https://arxiv.org/abs/1505.07401

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