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The Legendrian satellite construction

Lenhard L. Ng
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Abstract

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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Lenhard L. Ng. 2001-12-11. The Legendrian satellite construction. https://arxiv.org/abs/math/0112105

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