Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8904165 | Topology and its Applications | 2018 | 7 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Alberto Cavallo,