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

Abstract

We discuss a concordance invariant constructed from Heegaard Floer homology "correction terms" and +/- 1 surgeries on knots in the three-sphere.

arXiv commentv4: re-resubmit due to errors with arxiv uploading process

References in corpus (2)

• Heegaard Floer homology and alternating knots
• Computations of Heegaard-Floer knot homology

Cited by in corpus (16)

• The reduced knot Floer complex
• Positive Links
• Nonorientable four-ball genus can be arbitrarily large
• Morse theory for plane algebraic curves
• Topologically slice knots that are not smoothly slice in any definite 4-manifold
• The Upsilon function of L-space knots is a Legendre transform
• Involutive Heegaard Floer homology and rational cuspidal curves
• On sums of torus knots concordant to alternating knots
• Heegaard Floer homologies for (+1) surgeries on torus knots
• Non-orientable genus of a knot in punctured $\mathbb{C}{P}^2$
• Concordance properties of parallel links
• H(2)-Unknotting Operation Related to 2-Bridge Links
• Heegaard Floer correction terms of $(+1)$-surgeries along $(2,q)$-cablings
• On knots having zero negative unknotting number
• Generalized Heegaard Floer correction terms
• Knots that are not slice either in positons or in negatons