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math.GT2023
Left-orderable surgeries on the knot via hyperbolic -representations
Ollie Thakar
We introduce a new method of detecting when the fundamental group of a Dehn surgery on a knot admits a left-ordering, a method which is particularly useful for 2-bridge knots. As a…
math.GT2022
Combinatorial Proofs of Properties of Double-Point Enhanced Grid Homology
Ollie Thakar
We provide a purely combinatorial proof of a skein exact sequence obeyed by double-point enhanced grid homology. We also extend the theory to coefficients over and di…