A condition on the Jones polynomial for a family of positive links

In this paper, we provide a bound on the maximum degree of the Jones polynomial of any positive link with second Jones coefficient equal to [Formula: see text]. This builds on the result of our previous work, in which we found such a bound for positive fibered links.

Authors

Institutions

Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2026-01-16
DOI
https://doi.org/10.1142/s0218216526500124
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A condition on the Jones polynomial for a family of positive links

Lizzie Buchanan
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
article

A condition on the Jones polynomial for a family of positive links

Lizzie Buchanan
article en

Abstract

In this paper, we provide a bound on the maximum degree of the Jones polynomial of any positive link with second Jones coefficient equal to [Formula: see text]. This builds on the result of our previous work, in which we found such a bound for positive fibered links.

Journal of Knot Theory and Its Ramifications
University of Iowa (US)
Openalex Percentile: Top 82%
Geometric and Algebraic Topology
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A condition on the Jones polynomial for a family of positive links — Lizzie Buchanan · Journal of Knot Theory and Its Ramifications (2026) | TGRS Research Map | TGRS