DOI: 10.1112/blms.13211 ISSN: 0024-6093
Algebraically overtwisted tight 3‐manifolds from +1$+1$ surgeries
Youlin Li, Zhengyi ZhouAbstract
We execute Avdek's algorithm to find many algebraically overtwisted and tight 3‐manifolds by contact surgeries. In particular, we show that a contact surgery on the standard contact 3‐sphere along any Legendrian positive torus knot with the maximal Thurston–Bennequin invariant yields an algebraically overtwisted and tight 3‐manifold, where is a positive integer.