Work

On a Map From Pure Braids to Knots

Year: 1999

Type: preprint

Abstract: We study a certain type of braid closure which resembles the plat closure but has certain advantages; for example, it maps pure braids to knots. The main results of this note are a Markov-type theorem and a description of how Vassiliev invariants behave under this braid closure.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/9907088

Authors: Mostovoy, Jacob, Stanford, Theodore

Institutions: Universidad Nacional Autónoma de México, New Mexico State University, United States Naval Academy

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: U.S. Naval Academy

OpenAlex ID: W2949494604

Cites: 2

Cited by: 1

Related to: 20