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math.GT2024
A Legendrian knot atlas for knots of arc index 10
Ina Petkova, Noah Schwartz
We expand the atlas of Legendrian knots in standard contact three-space to knots of arc index 10.
math.GT2024
Spectral GRID invariants and Lagrangian cobordisms
Mitchell Jubeir, Ina Petkova, Noah Schwartz +2
We prove that the filtered GRID invariants of Legendrian links in link Floer homology, and consequently their associated invariants in the spectral sequence, obstruct decomposable…