English

New invariants of Legendrian knots

Geometric Topology 2022-06-14 v1

Abstract

We give new functions of Legendrian knots derived from Legendrian fronts. These are integer-valued linear functions that are alike the Arnold basic invariant of plane curves. Various generalizations of the Arnold basic invariant have been known. In this paper, we give another extension of Arnold's idea.

Keywords

Cite

@article{arxiv.2112.02314,
  title  = {New invariants of Legendrian knots},
  author = {Noboru Ito and Masashi Takamura},
  journal= {arXiv preprint arXiv:2112.02314},
  year   = {2022}
}

Comments

6 pages, 5 figures