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arXiv · 1403.2464

Generalized Heegaard Floer correction terms

Adam Simon Levine·Daniel Ruberman
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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 $\operatorname{HF}^\infty$. We establish the basic properties of these invariants: conjugation invariance, behavior under orientation reversal, additivity, and spin$^c$ rational homology cobordism invariance.

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Adam Simon Levine, Daniel Ruberman. 2014-03-11. Generalized Heegaard Floer correction terms. https://arxiv.org/abs/1403.2464

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