Heegaard Floer correction terms, with a twist

2015/05/27 by Behrens, Stefan, Golla, Marco
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1505.07401

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 Ozsváth and Szabó for integer homology 3-spheres and, more generally, for 3-manifolds with standard \rm 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.

Related

• Heegaard Floer invariants in codimension one
• Generalized Heegaard Floer correction terms
• Triple products and cohomological invariants for closed three-manifolds
• Heegaard Floer homology of broken fibrations over the circle
• Holomorphic disks and three-manifold invariants: properties and applications