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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.SG2024
Algebraically overtwisted tight -manifolds from surgeries
Youlin Li, Zhengyi Zhou
We execute Avdek's algorithm to find many algebraically overtwisted and tight -manifolds by contact surgeries. In particular, we show that a contact surgery on the st…