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math.GT2000
Tight contact structures with no symplectic fillings
John B. Etnyre, Ko Honda
We exhibit tight contact structures on 3-manifolds that do not admit any symplectic fillings.
math.GT2000
Knots and Contact Geometry
John B. Etnyre, Ko Honda
We classify Legendrian torus knots and figure eight knots in the tight contact structure on the 3-sphere up to Legendrian isotopy. As a corollary to this we also obtain the classif…