Work

Knots and links in 2-complexes

Year: 2025

Type: article

Abstract: In this paper, we introduce and study knots and links in two-dimensional complexes. In particular, we define linking numbers for oriented two-component links in 2-complexes and a Kauffman-type bracket polynomial for links in 2-complexes. We also discuss relationships with knots and links in 3-manifolds.

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216525400085

Author: Vladimir Turaev

Institutions: Indiana University Bloomington, Indiana University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4407580041

FWCI:

Cites: 2

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Related to: 10