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Journal of Knot Theory and Its Ramifications is a peer-reviewed journal published by World Scientific, covering Geometric and Algebraic Topology, Homotopy and Cohomology in Algebraic Topology, Advanced Combinatorial Mathematics.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Journal of Knot Theory and Its Ramifications 12, 45–58 (2023).
Formats any DOI in the closest standard style — Journal of Knot Theory and Its Ramifications has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Geometric and Algebraic Topology Homotopy and Cohomology in Algebraic Topology Advanced Combinatorial Mathematics semigroups and automata theory Algebraic structures and combinatorial models |
| ISSN | 0218-2165 |
| Citation impact (2-yr) | 0.23 |
| h-index | 60 |
| i10-index | 634 |
| Total citations | 24,371 |
| Top institutions publishing here | Osaka City University |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Citations each year’s papers have accumulated so far — the most recent years are still building up.
A rack, which is the algebraic distillation of two of the Reidemeister moves, is a set with a binary operation such that right multiplication is an automorphism. Any codimension two link has a fundamental rack which contains more information than the fundamental group. Racks provide an elegant and complete algebraic framework in which to study…
We introduce an equivalence relation, called stable equivalence, on knot diagrams and closed generically immersed curves on surfaces. We give bijections between the set of abstract knots, the set of virtual knots, and the set of the stable equivalence classes of knot diagrams on surfaces. Using these bijections, we define concordance and link homology for…
We give the definition of the Partition Algebra P n (Q). This is a new generalisation of the Temperley–Lieb algebra for Q-state n-site Potts models, underpinning their transfer matrix formulation on arbitrary transverse lattices. In P n (Q) subalgebras appropriate for building the transfer matrices for all transverse lattice shapes (e.g. cubic) occur. For [Formula:…
We introduce a local algorithm for Khovanov homology computations — that is, we explain how it is possible to "cancel" terms in the Khovanov complex associated with a ("local") tangle, hence canceling the many associated "global" terms in one swoosh early on. This leads to a dramatic improvement in computational efficiency. Thus our program can…
