Generalized Heegaard Floer correction terms

Abstract

We make use of the action of $H_1(Y)$ in Heegaard Floer homology to generalize the Ozsváth-Szabó correction terms for $3$-manifolds with standard ${\mathrm{HF}}^{\infty }$. We establish the basic properties of these invariants: conjugation invariance, behavior under orientation reversal, additivity, and spin${}^c$ rational homology cobordism invariance.

To appear in Proceedings of the 20th Gökova Geometry/Topology Conference

References in corpus (1)

• A concordance invariant from the Floer homology of +/- 1 surgeries