Cabling in terms of immersed curves

Jonathan Hanselman; Liam Watson

doi:10.2140/gt.2023.27.925

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arXiv · 1908.04397

Cabling in terms of immersed curves

Jonathan Hanselman·Liam Watson

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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.

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Jonathan Hanselman, Liam Watson. 2019-08-12. Cabling in terms of immersed curves. https://doi.org/10.2140/gt.2023.27.925

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