The Legendrian satellite construction

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.

10 pages, 7 figures, AMS-LaTeX; this article is taken essentially verbatim from the author's Ph.D. thesis

References in corpus (1)

• Generating function polynomials for legendrian links

Cited by in corpus (9)

• Cluster varieties from Legendrian knots
• Knot concordance and homology cobordism
• Legendrian knots in overtwisted contact structures
• Satellite operators with distinct iterates in smooth concordance
• Shake slice and shake concordant knots
• Linear independence of cables in the knot concordance group
• Legendrian Satellites and Decomposable Concordances
• Simplified SFT moduli spaces for Legendrian links
• Legendrian solid-torus links