3 citations · 3 across the 4 of their papers we have counts for
4 papers
Fixed-point-free pseudo-Anosovs, and genus-two L-space knots in the Poincare sphere
Braeden Reinoso
We classify genus-two L-space knots in the Poincaré homology sphere. This leads to the second knot Floer homology detection result for a knot of genus at least two, and the first s…
Non-orientable Lagrangian fillings of Legendrian knots
Linyi Chen, Grant Crider-Phillips, Braeden Reinoso +2
We investigate when a Legendrian knot in standard contact has a non-orientable exact Lagrangian filling. We prove analogs of several results in the orientable settin…
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…
Floer homology, twist coefficients, and capping off
Braeden Reinoso
For an open book decomposition , the fractional Dehn twist coefficients are rational numbers measuring the amount that the monodromy twists the surface near each bou…