Journal of Knot Theory and its Ramifications

Aims & Scope

This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science.

Our stance is interdisciplinary due to the nature of the subject.

Knot theory as a core mathematical discipline is subject to many forms of generalization (virtual knots and links, higher-dimensional knots, knots and links in other manifolds, non-spherical knots, recursive systems analogous to knotting).

Knots live in a wider mathematical framework (classification of three and higher dimensional manifolds, statistical mechanics and quantum theory, quantum groups, combinatorics of Gauss codes, combinatorics, algorithms and computational complexity, category theory and categorification of topological and algebraic structures, algebraic topology, topological quantum field theories).

Papers that will be published include: -new research in the theory of knots and links, and their applications; -new research in related fields; -tutorial and review papers.

With this Journal, we hope to serve well researchers in knot theory and related areas of topology, researchers using knot theory in their work, and scientists interested in becoming informed about current work in the theory of knots and its ramifications.

View Aims & Scope

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Metrics & Ranking

Impact Factor

Year	Value
2025	0.4
2024	0.30

Journal Rank

Year	Value
2024	14284

Journal Citation Indicator

Year	Value
2024	108

SJR (SCImago Journal Rank)

Year	Value
2024	0.381

Quartile

Year	Value
2024	Q3

h-index

Year	Value
2024	40

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Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

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Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

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Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• RACKS AND LINKS IN CODIMENSION TWO

  Citation: 245

  Authors: ROGER, COLIN

• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS

  Citation: 142

  Authors: Naoko, Seiichi

• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS

  Citation: 136

  Authors: J., SEIICHI, MASAHICO

• ON THE INVARIANTS OF TORUS KNOTS DERIVED FROM QUANTUM GROUPS

  Citation: 128

  Authors: MARC, VAUGHAN

• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION

  Citation: 126

  Authors: PAUL

• TWO-DIMENSIONAL TOPOLOGICAL QUANTUM FIELD THEORIES AND FROBENIUS ALGEBRAS

  Citation: 93

  Authors: LOWELL

• FAST KHOVANOV HOMOLOGY COMPUTATIONS

  Citation: 92

  Authors: DROR

• GAUSS' LINKING NUMBER REVISITED

  Citation: 88

  Authors: RENZO L., BERNARDO

• State-Sum Invariants of 4-Manifolds

  Citation: 77

  Authors: Louis, Louis H., David N.

• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL

  Citation: 75

  Authors: H. A., LOUIS H.

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