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math.GT2022★ 3 cited
Fixed-point-free pseudo-Anosov homeomorphisms, knot Floer homology and the cinquefoil
Ethan Farber, Braeden Reinoso, Luya Wang
Given any genus-two, hyperbolic, fibered knot in with nonzero fractional Dehn twist coefficient, we show that its pseudo-Anosov representative has a fixed point. Combined wit…
math.GT2018
A combinatorial proof of invariance of double-point enhanced grid homology
Timothy Ratigan, Joshua Wang, Luya Wang
We prove that the "minus" version of Lipshitz's double-point enhanced grid homology is a knot invariant through purely combinatorial means.