Cabling in terms of immersed curves

Jonathan Hanselman; Liam Watson

doi:10.2140/gt.2023.27.925

Cabling in terms of immersed curves

Jonathan Hanselman, Liam Watson

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In joint work with J Rasmussen (Proc. Lond. Math. Soc. (3) 125 (2022) 879–967), 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 (arXiv 1810.10355). Appealing to earlier work of the authors on bordered Floer homology (Geom. Topol. 27 (2023) 823–924), we give a formula for the behaviour of these immersed curves under cabling.

Original language	English (US)
Pages (from-to)	925-952
Number of pages	28
Journal	Geometry and Topology
Volume	27
Issue number	3
DOIs	https://doi.org/10.2140/gt.2023.27.925
State	Published - 2023

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/gt.2023.27.925

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AB - In joint work with J Rasmussen (Proc. Lond. Math. Soc. (3) 125 (2022) 879–967), 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 (arXiv 1810.10355). Appealing to earlier work of the authors on bordered Floer homology (Geom. Topol. 27 (2023) 823–924), we give a formula for the behaviour of these immersed curves under cabling.

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Cabling in terms of immersed curves

Abstract

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