Journal of Knot Theory and Its Ramifications

Papers
(The median citation count of Journal of Knot Theory and Its Ramifications is 0. 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 2021-11-01 to 2025-11-01.)
ArticleCitations
Vertex distortion detects the unknot7
Self-dual maps III: Projective links7
Linking in tree-manifolds5
Connected sum and crossing numbers of flat virtual knots5
A note on the involutive invariants of certain pretzel knots4
New superbridge index calculations from non-minimal realizations4
A Polynomial Invariant of Virtual Links Using Jager Formula4
Virtual index cocycles and invariants of virtual links4
On the complexity of meander-like diagrams of knots4
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation4
The non-orientable 4-genus of 11 crossing non-alternating knots4
Embedding tangles in links and Gaussian integers3
A spectrum connecting the bridge index and the braid index3
A combinatorial description of the LOSS Legendrian knot invariant3
Limits of the Tristram–Levine signature function3
Multivariate Alexander quandles, IV. The medial quandle of a link3
Generalization of arc shift for twisted knots2
A polynomial invariant of Kauffman type for knotoids2
On the geometry and bounded cohomology of racks and quandles2
A note on Murasugi sum of trivially extendable relative trisections2
The Rohlin invariant and ℤ/2-valued invariants of homology spheres2
A visit in Valparaíso2
Heegaard presentations and Milnor pairings of some knots2
Quandle action quivers2
Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial2
Preface2
Preface for Special Issue for Vaughan Jones2
Extremal Khovanov homology and the girth of a knot2
Classifying links and spatial graphs with finite N-quandles2
A new invariant of planar knotoids and finite-type invariants2
Forty years in mathematics: Personal perspective (Part I)2
Intersecting subgroups and symmetric commutator subgroups in virtual link groups2
On some new oriented Singquandles and their shadows2
A multivariable polynomial invariant of virtual knots2
On annulus presentations, dualizable patterns and RGB-diagrams2
Conversion to almost classical virtual links and pseudo Goeritz matrices2
Remembering Vaughan Jones2
One conjecture on cut points of virtual links and the arrow polynomial of twisted links2
Quantum invariants of links and 3-manifolds with boundary defined via virtual links2
Pentagon equations, Delaunay triangulations and pure braid group invariant2
Embedding tangles and the Kauffman bracket polynomials2
A groupoid rack and spatial surfaces2
Invariants of spatial graphs coming from maximal trees2
Matrix representation for some generalized braid-like groups2
Some experimental results on knots and links constructed from elements of Thompson’s group F à la Jones2
Knots with properties of a trefoil knot concerning unknotting operations2
The F-polynomial invariant for knotoids2
On linear resolvability of universal quantum dimensions2
Group-valued invariant of knots in the full torus2
Algebra, topology and the discoveries of Vaughan Jones2
Memories of Vaughan Jones2
Bi-Legendrian rack colorings of Legendrian knots2
A construction of multiple group racks1
Properties of minimal charts and their applications VIII: Charts of type (7)1
Carric mat and the further research on bipartite knots1
Multi-virtual knot theory1
Symmetry groups of hyperbolic links and their complements1
Generalized knots–quivers correspondence1
An improvement of the lower bound for the minimum number of link colorings by quandles1
Embedding Alexander quandles into groups1
Author index Volume 321
Alexander and Markov theorems for generalized knots, II generalized braids1
Regular projections of the link L6n11
Two-bridge links and stable maps into the plane1
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm1
Region colorings of surfaces in 4-space1
Memories of Vaughan from his student days and after1
Finite involutory quandles of two-bridge links with an axis1
Trisection embeddings of non-orientable 4-manifolds1
The one-row-colored ????????3 Jones polynomials for pretzel links1
Some polynomial invariants of virtual doodles1
Positive braids minimize ascending number1
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex1
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened surfaces1
Periods of continued fractions and volumes of modular knots complements1
Tri-plane diagrams for simple surfaces in S41
The H(n)-move is an unknotting operation for virtual and welded links1
Jones rational coincidences1
An algorithm to calculate generalized Seifert matrices1
A class of index polynomial invariants for virtual knots using flat virtual knots invariants1
The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams1
Linking number for graph-links and some classification of graph-links1
A universal algebraic approach to rack coverings1
On homogeneous quasipositive links1
Regular isotopy classes of link diagrams from Thompson’s groups1
Signed heights of knotoids1
Orbits by the up–down action of braid diagrams1
A Torres-type formula for the Alexander polynomial of spatial graphs1
Trisections induced by the Gluck surgery along certain spun knots1
Garside groups and geometry: Some thoughts for Patrick Dehornoy1
Origins of the Temperley-Lieb Algebra: Early History1
Special Issue in Memory of Patrick Dehornoy1
Colorings of Symmetric Unions and Partial Knots1
The special shadow-complexity of #k(S1 × S3)1
Representations of flat virtual braids which do not preserve the forbidden relations1
Characterizing slopes for torus knots, II1
B-type Catalan states of lattice crossing1
Erratum: Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs1
Families of curly knots1
Knot cobordism and Lee’s perturbation of Khovanov homology1
Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups1
Multivariate Alexander quandles, V. Constructing the medial quandle of a link1
Some generalizations of Satoh’s Tube map1
Counting the number of connected components of multi-curves through corresponding permutations1
Octahedral developing of knot complement II: Ptolemy coordinates and applications1
In Memory of Vaughan Jones (Renzo L. Ricca)1
Computations of HOMFLY homology1
A Seifert algorithm for integral homology spheres1
Fibered 3-manifolds with unique incompressible surfaces1
Shade quandle presentations for oriented links1
On pretzel links which are concordant to the trivial link1
Simple braids tend toward positive entropy1
The intersection polynomials of a virtual knot IV: Crossing change and supporting genus1
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices1
On the braid index of a two-bridge knot1
Decomposability of minimal defect branched coverings over the projective plane1
On the swap move of letters in words and the forbidden moves in virtual diagrams1
Cyclic sets from ribbon string links1
A combinatorial proof of invariance of double-point enhanced grid homology1
Reducible surgery in lens spaces and seiferters1
Torus knots and links in V1 that are invariant under the ℤm × ℤl-actions on V1 that form the quotient orbifold (A0,k)1
A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection1
Left orderability for surgeries on the [1,1,2,2,2j] two-bridge knots1
On the nonorientable 4-genus of double twist knots0
Torus knots obtained by negatively twisting torus knots0
On universal parity on free two-dimensional knots0
Framed Thompson groups0
The Gordian complexes of knots given by 4-move0
Flat-virtual knot: Introduction and some invariants0
Behind maths: Federating research(ers)0
Equivalence of field theories: Crane-Yetter and the shadow0
Closure of Knitted Surfaces and Surface-Links0
Δ-tribrackets and link homotopy0
Concordances of sums of alternating torus knots and their mirrors to L -space knots0
Basis for KBSM of fibered torus with multiplicity two exceptional fiber0
A short remembrance of Vaughan0
On long knots in the full torus0
A new Gram determinant from the Möbius band0
HOMFLY-PT polynomials of open links0
Torsion in Khovanov homology of homologically thin knots0
Three-page indices for rational links and pretzel links0
Cyclic coverings of the 3-sphere branched over wild knots of dynamically defined type0
Generators of the mapping class group of a nonorientable punctured surface0
An example of a non-extendable isotopy of a knot0
Biracks and switch braid quivers0
On a commuting graph of tiny braids0
Finiteness and Dimension of Stated Skein Modules over Frobenius0
Lescop invariants of both the Brieskorn–Hamm manifolds and 3-manifolds obtained by Dehn surgeries on knots0
Index polynomial invariants of virtual knots using invariants for flat virtual knots0
Modified symmetrized integral in G-coalgebras0
Vaughan Jones at IHES0
A note on closed 3-braid knot shadows0
New examples of topologically slice links0
Entropic Niebrzydowski tribrackets0
Hyperbolicity of augmented links in the thickened torus0
Homflypt skein theory, string topology and 2-categories0
Over then under tangles0
3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation0
On the algebraic structure of the set of long flat virtual knot diagrams with the connected sum operation0
On the axioms of singquandles0
Links in the spherical 3-manifold obtained from the quaternion group and their lifts0
Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs0
Quantum invariant congruence for periodic links0
Non-slice 3-stranded pretzel knots0
The virtual spectrum of linkoids and open curves in 3-space0
Quandle coloring quivers of (p,q)-torus links0
Non-diffeomorphic minimal genus relative trisections of the same 4-manifold0
Groups generated by Dehn twists along fillings of surfaces0
Generalizing the relation between the Kauffman bracket and Jones polynomial0
Annular Khovanov homology and meridional disks0
The unrestricted virtual braid groups UV Bn0
Braids act on configurations of lines0
Determinant of the OU matrix of a braid diagram0
The Story Behind the Photo at the Isaac Newton Institute0
Preface for Special Issue for Vaughan Jones0
On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere0
Capturing links in spatial complete graphs0
Self-intersecting filling curves on surfaces0
A meeting with Patrick DeHornoy0
Folded ribbonlength of 2-bridge knots0
Some properties of grid homology for MOY graphs0
Parity on based matrices0
Knot quandle decomposition along a torus0
A type DA structure in Khovanov homology0
On invariants for surface-links in entropic magmas via marked graph diagrams0
Derivatives of Jones polynomials detect delta moves in virtual knots0
The non-orientable 4-genus for knots with 10 crossings0
Algebraic concordance order of almost classical knots0
The tightest knot is not necessarily the smallest0
Tangle number of virtual rational tangles0
State sum invariants of knots from idempotents in quandle rings0
A new Garside structure on torus knot groups and some complex braid groups0
CWR sequence of invariants of alternating links and its properties0
Projectors in the virtual Temperley–Lieb algebra0
Group object quandles and their endomorphism nearrings0
Knots in Sg × S1 and winding parities0
Universal weight systems from a minimal ℤ22-graded lie algebra0
Heegaard Floer invariants for cyclic 3-orbifolds0
Classification of small links in the unmarked solid torus0
Narrowing the gap between combinatorial and hyperbolic knot invariants via deep learning0
Lower bounds for the warping degree of a knot projection0
An alternate approach to Habiro and Lê’s universal invariant of homology three-spheres0
Intersection formulas for parities on virtual knots0
On the virtual singular braid monoid0
Equivariant annular Khovanov homology0
Some computations on instanton knot homology0
Random hypergraphs, random simplicial complexes and their Künneth-type formulae0
The smooth 4-genus of (the rest of) the prime knots through 12 crossings0
Knot invariants for rail knotoids0
The average genus of oriented rational links with a given crossing number0
The intersection polynomials of a virtual knot II: Connected sums0
Coefficients of Catalan states of lattice crossing II: Applications of ΘA-state expansions0
Minimal grid diagrams of the prime knots with crossing number 14 and arc index 13, 140
An Alexander-type invariant for doodles0
Decompositions of functions defined on finite sets in ℝd0
Coloring torus knots by conjugation quandles0
Disingquandles and invariants of dichromatic singular links0
Maps on random hypergraphs and random simplicial complexes0
On Heegaard splittings of mapping torus and induced by open book decompositions0
On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots0
Properties of minimal charts and their applications XI: No minimal charts with exactly seven white vertices0
4-Move distance of knots0
The coefficients of the Jones polynomial0
A numerical invariant of oriented links0
Morse complexes and M-torsions of digraphs0
Anomaly-free TQFTs from the super Lie algebra ????????(2|1)0
Strict inequalities for the n-crossing number0
Geography of Legendrian knot mosaics0
Erratum — On twist positive braids with the 2-variable link invariant: 3-braids of width 20
Combinatorial knot theory and the Jones polynomial0
Remembering Patrick Dehornoy0
The genus one complex quantum Chern–Simons representation of the mapping class group0
Determinants of twisted generalized hybrid weaving knots0
Preface0
Petal number of torus knots using superbridge indices0
The action of the Kauffman bracket skein algebra of the torus on the Kauffman bracket skein module of the 3-twist knot complement0
A new bound on odd multicrossing numbers of knots and links0
Remembrance of Vaughan Jones0
Doodles and commutator identities0
On the triple point number of surface-links in Yoshikawa’s table0
The rack congruence condition and half congruences in racks0
Legendrian satellites and decomposable cobordisms0
An introduction to Thompson knot theory and to Jones subgroups0
Parity functors0
Infinitely many virtual knots with any given sequence of n-writhes0
On torsion in linearized Legendrian contact homology0
Quantum enhancement polynomials associated with the canonical two-element tribracket0
Psyquandle coloring quivers0
On twist positive braids with the 2-variable link invariant: 3-braids of width 20
On the generalized virtual Goeritz matrix for virtual knots0
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