The Legendrian satellite construction
几何拓扑
2008-06-11 v1 辛几何
摘要
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.
引用
@article{arxiv.math/0112105,
title = {The Legendrian satellite construction},
author = {Lenhard L. Ng},
journal= {arXiv preprint arXiv:math/0112105},
year = {2008}
}
备注
10 pages, 7 figures, AMS-LaTeX; this article is taken essentially verbatim from the author's Ph.D. thesis