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math.GT2026
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 th…
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…