Article ID Journal Published Year Pages File Type
8904165 Topology and its Applications 2018 7 Pages PDF
Abstract
We prove that loose Legendrian knots in a rational homology contact 3-sphere, satisfying some additional hypothesis, are Legendrian isotopic if and only if they have the same classical invariants. The proof requires a result of Dymara on loose Legendrian knots and Eliashberg's classification of overtwisted contact structures on 3-manifolds.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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