Work

The CN matrix of a pure braid projection

Year: 2025

Type: article

Abstract: The CN matrix of an n-braid projection B is an [Formula: see text] matrix such that each [Formula: see text] entry indicates the number of crossings between ith and jth strands of B. In this paper, several patterns of an [Formula: see text] matrix to be a CN matrix are discussed, and the CN matrix of a pure 6-braid projection is characterized. As an application, the OU matrix of a pure 6-braid diagram and the crossing matrix of a positive pure 6-braid are also characterized.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216525500750

Authors: Yuko Ozawa, Ayaka Shimizu, Yoshiro Yaguchi

Institutions: Maebashi Institute of Technology, Meiji University, Ochanomizu University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W4413838147

FWCI: 1.802

Cites: 4

Cited by: 1

Related to: 10