On a relation between the self-linking number and the braid index of closed braids in open books

Tetsuya Ito

Type: Article

Publication Date: 2017-11-10

Citations: 0

DOI: https://doi.org/10.1215/21562261-2017-0021

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 examples that do not satisfy a naive generalization of the Jones–Kawamuro conjecture.

Locations

Kyoto journal of mathematics - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View

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