OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Knot Theory and Its Ramifications is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-05-01 to 2025-05-01.)

Article	Citations
Linking in tree-manifolds	7
New superbridge index calculations from non-minimal realizations	6
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation	6
Vertex distortion detects the unknot	6
Self-dual maps III: Projective links	4
Connected sum and crossing numbers of flat virtual knots	4
A note on the involutive invariants of certain pretzel knots	4
The non-orientable 4-genus of 11 crossing non-alternating knots	4
Virtual index cocycles and invariants of virtual links	4
A combinatorial description of the LOSS Legendrian knot invariant	3
A visit in Valparaíso	3
Multivariate Alexander quandles, IV. The medial quandle of a link	3
Integral geometric orbifolds	3
Quandle Action Quivers	3
Limits of the Tristram–Levine signature function	3
A multivariable polynomial invariant of virtual knots	3
Algebra, topology and the discoveries of Vaughan Jones	2
A new invariant of planar knotoids and finite-type invariants	2
Remembering Vaughan Jones	2
The Rohlin invariant and ℤ/2-valued invariants of homology spheres	2
On linear resolvability of universal quantum dimensions	2
A polynomial invariant of Kauffman type for knotoids	2
Local-moves on knots and products of knots II	2
Pentagon equations, Delaunay triangulations and pure braid group invariant	2
Bi-Legendrian rack colorings of Legendrian knots	2

Quantum invariants of links and 3-manifolds with boundary defined via virtual links	2
A groupoid rack and spatial surfaces	2
Invariants of spatial graphs coming from maximal trees	2
Embedding tangles and the Kauffman bracket polynomials	2
The F-polynomial invariant for knotoids	2
Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial	2
On annulus presentations, dualizable patterns and RGB-diagrams	2
One conjecture on cut points of virtual links and the arrow polynomial of twisted links	2
Virtual and arrow Temperley–Lieb algebras, Markov traces, and virtual link invariants	2
Extremal Khovanov homology and the girth of a knot	2
Intersecting subgroups and symmetric commutator subgroups in virtual link groups	2
A diagrammatic presentation and its characterization of non-split compact surfaces in the 3-sphere	2
Group-valued invariant of knots in the full torus	2
Preface	2
Forty years in mathematics: Personal perspective (Part I)	2
Conversion to almost classical virtual links and pseudo Goeritz matrices	2
Heegaard presentations and Milnor pairings of some knots	2
A note on Murasugi sum of trivially extendable relative trisections	2
On the geometry and bounded cohomology of racks and quandles	2
Memories of Vaughan Jones	2
Generalization of arc shift for twisted knots	2
Knots with properties of a trefoil knot concerning unknotting operations	2
Counting the number of connected components of multi-curves through corresponding permutations	1
Families of curly knots	1
On hyperelliptic Euclidean 3-manifolds	1
On the swap move of letters in words and the forbidden moves in virtual diagrams	1
Octahedral developing of knot complement II: Ptolemy coordinates and applications	1
In Memory of Vaughan Jones (Renzo L. Ricca)	1
Special Issue in Memory of Patrick Dehornoy	1
A Seifert algorithm for integral homology spheres	1
On the braid index of a two-bridge knot	1
Shade quandle presentations for oriented links	1
A universal algebraic approach to rack coverings	1
Multi-virtual knot theory	1
Multivariate Alexander quandles, V. Constructing the medial quandle of a link	1
Preface for Special Issue for Vaughan Jones	1
Author index Volume 32	1
A photo at the Isaac Newton Institute	1
Orbits by the Up-Down Action of Braid Diagrams	1
A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection	1
B-type Catalan states of lattice crossing	1
Cyclic sets from ribbon string links	1
Coefficients of catalan states without nesting and maximal number of returns	1
Periods of continued fractions and volumes of modular knots complements	1
Tri-plane diagrams for simple surfaces in S4	1
Reducible surgery in lens spaces and seiferters	1
Two-bridge links and stable maps into the plane	1
Alexander and Markov theorems for generalized knots, II generalized braids	1
A class of index polynomial invariants for virtual knots using flat virtual knots invariants	1
Signed heights of knotoids	1

Memories of Vaughan from his student days and after	1
On homogeneous quasipositive links	1
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k)	1
The intersection polynomials of a virtual knot IV: Crossing change and supporting genus	1
Embedding Alexander quandles into groups	1
Region crossing change on origami and link	1
Connected sum of virtual knots and F-polynomials	1
Regular projections of the link L6n1	1
Regular isotopy classes of link diagrams from Thompson’s groups	1
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex	1
Some generalizations of Satoh’s Tube map	1
Garside groups and geometry: Some thoughts for Patrick Dehornoy	1
Left orderability for surgeries on the [1,1,2,2,2j] two-bridge knots	1
The H(n)-move is an unknotting operation for virtual and welded links	1
Representations of flat virtual braids which do not preserve the forbidden relations	1
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices	1
Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups	1
Jones rational coincidences	1
Properties of minimal charts and their applications VIII: Charts of type (7)	1
Carric mat and the further research on bipatite knots	1
Finite involutory quandles of two-bridge links with an axis	1
On pretzel links which are concordant to the trivial link	1
An improvement of the lower bound for the minimum number of link colorings by quandles	1
A Torres-type formula for the Alexander polynomial of spatial graphs	1
The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams	1
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm	1
Trisections induced by the Gluck surgery along certain spun knots	1
Fibered 3-manifolds with unique incompressible surfaces	1
Biquandle brackets and knotoids	1
Characterizing slopes for torus knots, II	1
A complete list of minimal diagrams of an oriented alternating knot	1
Simple braids tend toward positive entropy	1
Erratum: Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs	1
Symmetry Groups of Hyperbolic Links and their Complements	1
Some polynomial invariants of virtual doodles	1
An algorithm to calculate generalized Seifert matrices	1
Knot cobordism and Lee’s perturbation of Khovanov homology	1
The one-row-colored ????????3 Jones polynomials for pretzel links	1
The special shadow-complexity of #k(S1 × S3)	1
Linking number for graph-links and some classification of graph-links	1