Geodesic
Cabling in terms of immersed curves
Hanselman, Jonathan1 ; Watson, Liam2
1 Department of Mathematics, Princeton University, Princeton, NJ, United States
2 Department of Mathematics, University of British Columbia, Vancouver BC, Canada
Geometry & topology, Tome 27 (2023) no. 3, pp. 925-952.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2023.27.925
Classification : 57M25, 57M27
Keywords: knot Floer homology, bordered Heegaard Floer homology, immersed curves, cabling, concordance

Hanselman, Jonathan 1 ; Watson, Liam 2

1 Department of Mathematics, Princeton University, Princeton, NJ, United States
2 Department of Mathematics, University of British Columbia, Vancouver BC, Canada 
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Hanselman, Jonathan; Watson, Liam. Cabling in terms of immersed curves. Geometry & topology, Tome 27 (2023) no. 3, pp. 925-952. doi : 10.2140/gt.2023.27.925. http://geodesic.mathdoc.fr/articles/10.2140/gt.2023.27.925/

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