English

A Homological Approach to Relative Knot Invariants

Symplectic Geometry 2009-09-25 v1

Abstract

We define relative versions of the classical invariants of Legendrian and transverse knots in contact 3-manifolds for knots that are homologous to a fixed reference knot. We show these invariants are well-defined and give some basic properties.

Keywords

Cite

@article{arxiv.0909.4316,
  title  = {A Homological Approach to Relative Knot Invariants},
  author = {Georgi D. Gospodinov},
  journal= {arXiv preprint arXiv:0909.4316},
  year   = {2009}
}