Work

A prime decomposition theorem for string links in a thickened surface

Year: 2024

Type: article

Abstract: We prove a prime decomposition theorem for string links in a thickened surface. Namely, we prove that any non-braid string link [Formula: see text], where [Formula: see text] is a compact orientable (not necessarily closed) surface other than [Formula: see text], can be written in the form [Formula: see text], where [Formula: see text] is prime string link defined up to braid equivalence, and the decomposition is unique up to possibly permuting the order of factors in its right-hand side.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s021821652450041x

Author: Vladimir Tarkaev

Institutions: Chelyabinsk State University, Steklov Mathematical Institute, N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ural Branch of the Russian Academy of Sciences

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Russian Science Foundation

Award: G1613790340