Computable Legendrian invariants
几何拓扑
2007-05-23 v2
摘要
We establish tools to facilitate the computation and application of the Chekanov-Eliashberg differential graded algebra (DGA), a Legendrian-isotopy invariant of Legendrian knots in standard contact three-space. More specifically, we reformulate the DGA in terms of front projection, and introduce the characteristic algebra, a new invariant derived from the DGA. We use our techniques to distinguish between several previously indistinguishable Legendrian knots and links.
引用
@article{arxiv.math/0011265,
title = {Computable Legendrian invariants},
author = {Lenhard L. Ng},
journal= {arXiv preprint arXiv:math/0011265},
year = {2007}
}
备注
24 pages, 13 figures; more examples, section on links added; minor revisions made