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arxiv: math/0112105 · v1 · submitted 2001-12-11 · 🧮 math.GT · math.SG

The Legendrian satellite construction

classification 🧮 math.GT math.SG
keywords legendrianknotsconstructioncontactsatelliteanaloguechekanov-eliashbergcontain
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We examine the Legendrian analogue of the topological satellite construction for knots, and deduce some results for specific Legendrian knots and links in standard contact three-space and the solid torus. In particular, we show that the Chekanov-Eliashberg contact homology invariants of Legendrian Whitehead doubles of stabilized knots contain no nonclassical information.

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