A concordance invariant from the Floer homology of +/- 1 surgeries
Thomas D. Peters
TL;DR
This paper introduces a new concordance invariant derived from Heegaard Floer homology correction terms associated with +/- 1 surgeries on knots in the three-sphere, providing a novel tool for knot concordance studies.
Contribution
It constructs a new concordance invariant from Heegaard Floer homology correction terms related to +/- 1 surgeries, advancing knot theory techniques.
Findings
Defines a new concordance invariant from Floer homology
Connects the invariant to +/- 1 surgeries on knots
Provides potential applications in knot concordance classification
Abstract
We discuss a concordance invariant constructed from Heegaard Floer homology "correction terms" and +/- 1 surgeries on knots in the three-sphere.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Botulinum Toxin and Related Neurological Disorders