Cabling in terms of immersed curves
arXiv:1908.04397 · doi:10.2140/gt.2023.27.925
Abstract
In joint work with J. Rasmussen, we gave an interpretation of Heegaard Floer homology for manifolds with torus boundary in terms of immersed curves in a punctured torus. In particular, knot Floer homology is captured by this invariant. Appealing to earlier work of the authors on bordered Floer homology, we give a formula for the behaviour of these immersed curves under cabling.
arXiv comment18 pages, mostly figures
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Cited by in corpus (8)
- A calculus for bordered Floer homology
- Linear independence of rationally slice knots
- Rank Bounds in Link Floer Homology and Detection Results
- A mnemonic for the Lipshitz-Ozsváth-Thurston correspondence
- Knot Floer homology of satellite knots with (1,1)-patterns
- Homology concordance and knot Floer homology
- 2-torsion in instanton Floer homology
- A note on knot Floer homology of satellite knots with (1,1)-patterns