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math.GT2025
Holonomicity from a Heegaard-Floer Perspective
Benjamin Cooper, Robert Deyeso
We construct -colored knot Floer homologies and prove that they satisfy categorified recurrence relations. The associated Euler characteristic implies -holonomicity of the…
math.GT2022
Obstructing Reducible Surgeries: Slice Genus and Thickness Bounds
Holt Bodish, Robert DeYeso
In this paper, we study reducible surgeries on knots in . We develop thickness bounds for L-space knots that admit reducible surgeries, and lower bounds on the slice genus for…
math.GT2021
Thin knots and the Cabling Conjecture
Robert DeYeso
The Cabling Conjecture of González-Acuña and Short holds that only cable knots admit Dehn surgery to a manifold containing an essential sphere. We approach this conjecture for thin…