The Legendrian satellite construction

Details The Legendrian satellite construction The Legendrian satellite construction

2001-12-11

arxiv.org/abs/math/0112105v1

Appears as part of"Legendrian solid-torus links", J. Symplectic Geom. 2 (2005), No. 3, 411-443

Mathematics

Geometric Topology

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

Scientific paper

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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