English

A family of transversely nonsimple knots

Geometric Topology 2014-10-01 v2 Symplectic Geometry

Abstract

We apply knot Floer homology to exhibit an infinite family of transversely nonsimple prime knots starting with 1013210_{132}. We also discuss the combinatorial relationship between grid diagrams, braids, and Legendrian and transverse knots in standard contact R3\mathbb{R}^3.

Keywords

Cite

@article{arxiv.0806.1887,
  title  = {A family of transversely nonsimple knots},
  author = {Tirasan Khandhawit and Lenhard Ng},
  journal= {arXiv preprint arXiv:0806.1887},
  year   = {2014}
}

Comments

19 pages, v2: minor corrections to statements in section 2.4