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math.SG2026
Algebraic overtwistedness of contact -surgeries via augmented Floer theories
Russell Avdek, Youlin Li, Zhengyi Zhou
We prove that contact -surgery along a Legendrian -sphere with \[ \mathrm{tb}(Λ)\ne (-1)^{\frac{n(n-1)}{2}+1} \] has vanishi…
math.GT2026
Characterizing slopes for Legendrian knots
Youlin Li, Chi Zhang
We establish a criterion relating smooth and contact characterizing slopes under a uniqueness assumption. Let be a Legendrian representative of a knot with stand…