On the Upsilon invariant in grid homology
Geometric Topology
2024-12-12 v1
Abstract
The Upsilon invariant is a concordance invariant in knot Floer homology. F\"{o}ldv\'{a}ri reconstructed the Upsilon invariant using grid homology. We prove that the Upsilon invariant in knot Floer homology and one in grid homology are equivalent. Furthermore, we show some properties of the Upsilon invariant in the framework of grid homology.
Keywords
Cite
@article{arxiv.2412.08146,
title = {On the Upsilon invariant in grid homology},
author = {Hajime Kubota},
journal= {arXiv preprint arXiv:2412.08146},
year = {2024}
}
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10 pages