On a relation between the self-linking number and the braid index of closed braids in open books
Geometric Topology
2018-05-23 v2 Symplectic Geometry
Abstract
We prove a generalization of the Jones-Kawamuro conjecture that relates the self-linking number and the braid index of closed braids, for planar open books with certain additional conditions and modifications. We show that our result is optimal in some sense by giving several counter examples for naive generalizations of the Jones-Kawamuro conjecture.
Keywords
Cite
@article{arxiv.1501.07314,
title = {On a relation between the self-linking number and the braid index of closed braids in open books},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:1501.07314},
year = {2018}
}
Comments
26 pages, 22 Figures; several minor errors corrected