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Computations of Floer Lasagna Modules for Traces of Negative L-Space Knots
Abstract
We show that for all negative L-space knots and framings n≥2g(K), if a certain cobordism map between cables of K is non-vanishing, then the Floer lasagna module of the knot trace of K with framing −n is infinite dimensional. Further, for the maps on the hat flavour of link Floer homology induced by band maps, quasi-stabilisations and pair of pants cobordisms we give a description of the map on the E∞-page of Ozsvath and Szabo's spectral sequence for forgetting components.
Related
BibTeX
@misc{mcculloch2026computations,
title = {{Computations of Floer Lasagna Modules for Traces of Negative L-Space Knots}},
author = {Colin McCulloch},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17503},
eprint = {2609.17503},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17503},
}
RIS
TY - UNPB
TI - Computations of Floer Lasagna Modules for Traces of Negative L-Space Knots
AU - Colin McCulloch
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17503
UR - https://arxiv.org/abs/2609.17503
AB - We show that for all negative L-space knots and framings n≥2g(K), if a certain cobordism map between cables of K is non-vanishing, then the Floer lasagna module of the knot trace of K with framing −n is infinite dimensional. Further, for the maps on the hat flavour of link Floer homology induced by band maps, quasi-stabilisations and pair of pants cobordisms we give a description of the map on the E^∞-page of Ozsvath and Szabo's spectral sequence for forgetting components.
ER -