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On loose Legendrian knots in rational homology spheres
Published 16 Jul 2017 in math.GT | (1707.04872v1)
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.
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