Homology cobordism, knot concordance, and Heegaard Floer homology
Jennifer Hom
TL;DR
This paper reviews recent advances in knot concordance and homology cobordism, emphasizing the role of Heegaard Floer homology in proving key results and exploring open problems.
Contribution
It synthesizes recent results connecting Heegaard Floer homology with knot concordance and homology cobordism, highlighting new insights and open questions.
Findings
Heegaard Floer homology provides powerful tools for studying knot concordance.
Recent results establish new connections between homology cobordism and knot theory.
Open problems suggest directions for future research in the field.
Abstract
We review some recent results in knot concordance and homology cobordism. The proofs rely on various forms of Heegaard Floer homology. We also discuss related open problems.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Botulinum Toxin and Related Neurological Disorders