Journal of Knot Theory and Its Ramifications

Article	Citations
Vertex distortion detects the unknot	8
Connected sum and crossing numbers of flat virtual knots	7
A polynomial invariant of virtual links using Jager formula	5
Linking in tree-manifolds	5
On the complexity of meander-like diagrams of knots	5
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation	5
Conjugation in Sn	4
New superbridge index calculations from non-minimal realizations	4
Invariants of flat connections on 4-manifolds from Hopf group-algebras	4
Knot types of two-strand-twisted torus knots	4
A family of multi-variable polynomial invariants of flat virtual knots	4
The non-orientable 4-genus of 11 crossing non-alternating knots	4
Conversion to almost classical virtual links and pseudo Goeritz matrices	3
Multivariate Alexander quandles, IV. The medial quandle of a link	3
A spectrum connecting the bridge index and the braid index	3
Heegaard presentations and Milnor pairings of some knots	3
On some new oriented Singquandles and their shadows	3
An ????????2 action on link homology of T(2,k) torus links	3
Self-dual maps III: Projective links	3
A combinatorial description of the LOSS Legendrian knot invariant	3
The classical limit for stated SL n -skein modules	3
Gauss diagram formulae for Vassiliev invariants from Kauffman polynomial	3
On annulus presentations, dualizable patterns and RGB-diagrams	3
Quandle action quivers	3
Embedding tangles in links and Gaussian integers	3

Signature and crossing number of links	3
A multivariable polynomial invariant of virtual knots	3
A visit in Valparaíso	3
The F-polynomial invariant for knotoids	3
The special shadow-complexity of #k(S1 × S3)	2
Regular isotopy classes of link diagrams from Thompson’s groups	2
Preface for Special Issue for Vaughan Jones	2
Generalization of arc shift for twisted knots	2
A new invariant of planar knotoids and finite-type invariants	2
A note on Murasugi sum of trivially extendable relative trisections	2
Group-valued invariant of knots in the full torus	2
Some experimental results on knots and links constructed from elements of Thompson’s group F à la Jones	2
Matrix representation for some generalized braid-like groups	2
One conjecture on cut points of virtual links and the arrow polynomial of twisted links	2
On the Upsilon invariant in grid homology	2
Classifying links and spatial graphs with finite N -quandles	2
Memories of Vaughan Jones	2
Quantum invariants of links and 3-manifolds with boundary defined via virtual links	2
Algebra, topology and the discoveries of Vaughan Jones	2
A polynomial invariant of Kauffman type for knotoids	2
Intersecting subgroups and symmetric commutator subgroups in virtual link groups	2
A groupoid rack and spatial surfaces	2
Thistlethwaite theorems for knotoids and linkoids	2
Kirby–Thompson invariants of distant sums of standard surfaces	2
Extremal Khovanov homology and the girth of a knot	2
Trisection embeddings of non-orientable 4-manifolds	2
Decomposability of minimal defect branched coverings over the projective plane	2
On Thompson knot theory and conjugacy classes of Thompson’s group F	2
Bi-Legendrian rack colorings of Legendrian knots	2
Pentagon equations, Delaunay triangulations and pure braid group invariant	2
Invariants of spatial graphs coming from maximal trees	2
Remembering Vaughan Jones	2
On the geometry and bounded cohomology of racks and quandles	2
The Rohlin invariant and ℤ/2-valued invariants of homology spheres	2
Knots with properties of a trefoil knot concerning unknotting operations	2
Pointed Racks and Their Applications to Braid Theory	2
In memory of Vaughan Jones	1
B-type Catalan states of lattice crossing	1
Simple braids tend toward positive entropy	1
An improvement of the lower bound for the minimum number of link colorings by quandles	1
Carric mat and the further research on bipartite knots	1
Author index Volume 32	1
A construction of multiple group racks	1
Regular projections of the link L6n1	1
Multivariate Alexander quandles, V. Constructing the medial quandle of a link	1
A class of index polynomial invariants for virtual knots using flat virtual knots invariants	1
Computations of HOMFLY homology	1
Characterizing slopes for torus knots, II	1
Link-homotopy classes of 4-component links, claspers and the Habegger–Lin algorithm	1
Reducible surgery in lens spaces and seiferters	1

On closed incompressible meridionally incompressible surfaces in knot and link complements	1
Orbits by the up–down action of braid diagrams	1
Periods of continued fractions and volumes of modular knots complements	1
Clasp pass moves and arrow polynomials of virtual knots	1
Jones rational coincidences	1
Relationship of the Hennings and Witten–Reshetikhan–Turaev invariants for higher rank quantum groups	1
Region colorings of surfaces in 4-space	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
On homogeneous quasipositive links	1
Counting the number of connected components of multi-curves through corresponding permutations	1
An invariant of free knots valued in non-abelian groups	1
On invariants of surfaces in the 3-sphere	1
Tri-plane diagrams for simple surfaces in S4	1
Crossing numbers and rotation numbers of cycles in a plane immersed graph	1
Colorings of symmetric unions and partial knots	1
Embedding Alexander quandles into groups	1
Symmetry groups of hyperbolic links and their complements	1
Linking number for graph-links and some classification of graph-links	1
On the swap move of letters in words and the forbidden moves in virtual diagrams	1
Cyclic sets from ribbon string links	1
The intersection polynomials of a virtual knot IV: Crossing change and supporting genus	1
Erratum: Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs	1
KBSM for the family of small Seifert fibered 3-manifolds with multiplicity two exceptional fibers	1
Generalized knots–quivers correspondence	1
Octahedral developing of knot complement II: Ptolemy coordinates and applications	1
Positive braids minimize ascending number	1
A Torres-type formula for the Alexander polynomial of spatial graphs	1
Core groups	1
On pretzel links which are concordant to the trivial link	1
Families of curly knots	1
Left orderability for surgeries on the [1,1,2,2,2j] two-bridge knots	1
Dynamics of quandle orders	1
Integer inequalities between knot invariants, skein tree depth and delta-crossing numbers	1
Lefschetz open book decompositions of 4-manifolds	1
A combinatorial proof of invariance of double-point enhanced grid homology	1
Personal recollection of Vaughan F. R. Jones (1952–2020)	1
Origins of the Temperley–Lieb algebra: Early history	1
Enhanced index polynomials for virtual knots	1
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened surfaces	1
Multi-virtual knot theory	1
The Gordon–Litherland form and its many applications	1
Representations of flat virtual braids which do not preserve the forbidden relations	1
Invariants of annular links, cobordisms and transverse links from combinatorial link Floer complex	1
Trisections induced by the Gluck surgery along certain spun knots	1
The H(n)-move is an unknotting operation for virtual and welded links	1
Shade quandle presentations for oriented links	1
Some polynomial invariants of virtual doodles	1
A Seifert algorithm for integral homology spheres	1
A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection	1
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices	1
On characterization of a multivariable polynomial invariant of twisted links	1
Memories of Vaughan from his student days and after	1
Region crossing change on origami and link	1
Fibered 3-manifolds with unique incompressible surfaces	1
A universal algebraic approach to rack coverings	1
My memories of Vaughan Jones	1
Two-bridge links and stable maps into the plane	1
The one-row-colored ????????3 Jones polynomials for pretzel links	1
The photography method: Solving pentagon equation	1
On the braid index of a two-bridge knot	1
Richard A. Litherland: A brief biography	1
Computational complexity of graded knot invariant	1
Congruence subgroups of the virtual braid group	1
From integrals to combinatorial formulas of finite type invariants — A case study	1
An algorithm to calculate generalized Seifert matrices	1
A robot that unknots knots	0
Algebraic concordance order of almost classical knots	0
Braids act on configurations of lines	0
Random hypergraphs, random simplicial complexes and their Künneth-type formulae	0
Generators of the mapping class group of a nonorientable punctured surface	0
The distribution of braid indices of 2-bridge knots	0
Quantum invariant congruence for periodic links	0
Combinatorial knot theory and the Jones polynomial	0
Closure of knitted surfaces and surface-links	0
Counterexamples to Allen’s conjectures	0
A type DA structure in Khovanov homology	0
On a commuting graph of tiny braids	0
Δ-tribrackets and link homotopy	0
The Gordian complexes of knots given by 4-move	0
HOMFLY-PT polynomials of open links	0

Projectors in the virtual Temperley–Lieb algebra	0
Gröbner–Shirshov bases for Seifert manifolds	0
The smooth 4-genus of (the rest of) the prime knots through 12 crossings	0
Erratum — On twist positive braids with the 2-variable link invariant: 3-braids of width 2	0
A new Gram determinant from the Möbius band	0
The intersection polynomials of a virtual knot II: Connected sums	0
Determinants of twisted generalized hybrid weaving knots	0
Intersection formulas for parities on virtual knots	0
Biracks and switch braid quivers	0
Equivalence of field theories: Crane–Yetter and the shadow	0
Entropic Niebrzydowski tribrackets	0
Lower bounds for the warping degree of a knot projection	0
Preface for Special Issue for Vaughan Jones	0
Legendrian satellites and decomposable cobordisms	0
Determinant of the OU matrix of a braid diagram	0
A bracket polynomial for virtual links	0
Unsolvability of certain transcendental equations and the corresponding braid monodromy	0
New examples of topologically slice links	0
Petal number of torus knots using superbridge indices	0
The rack congruence condition and half congruences in racks	0
4-Move distance of knots	0
Oriented disingquandles and invariants of oriented dichromatic singular links	0
Jones polynomials from matrix elements of tangles in a pseudounitary representation	0
Coloring torus knots by conjugation quandles	0
Quantum enhancement polynomials associated with the canonical two-element tribracket	0
Remembrance of Vaughan Jones	0
Knot invariants for rail knotoids	0
Annular Khovanov homology and meridional disks	0
Equivariant annular Khovanov homology	0
On the generalized virtual Goeritz matrix for virtual knots	0
Disingquandles and invariants of dichromatic singular links	0
Groups generated by Dehn twists along fillings of surfaces	0
Some properties of grid homology for MOY graphs	0
The coefficients of the Jones polynomial	0
The story behind the photo at the Isaac Newton institute	0
On the non-orientable 4-genus of torus knots with braid index 5 or 6	0
Three-page indices for rational links and pretzel links	0
Flat-virtual knot: Introduction and some invariants	0
3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation	0
Generalizing the relation between the Kauffman bracket and Jones polynomial	0
Basis for KBSM of fibered torus with multiplicity two exceptional fiber	0
Derivatives with MCQ alexander pairs for Handlebody-Links	0
Framed Thompson groups	0
Determinants of simple theta curves and symmetric graphs	0
Over then under tangles	0
Links in the spherical 3-manifold obtained from the quaternion group and their lifts	0
Concordances of sums of alternating torus knots and their mirrors to L -space knots	0
On twist positive braids with the 2-variable link invariant: 3-braids of width 2	0
Segment number of knots	0
Quandle coloring quivers of (p,q)-torus links	0
On the algebraic structure of the set of long flat virtual knot diagrams with the connected sum operation	0
Derivatives of Jones polynomials detect delta moves in virtual knots	0
Minimal generating sets of moves for surfaces immersed in the four-space	0
Universal weight systems from a minimal ℤ22-graded lie algebra	0
The average genus of oriented rational links with a given crossing number	0
The genus one complex quantum Chern–Simons representation of the mapping class group	0
Preface	0
Strict inequalities for the n-crossing number	0
On universal parity on free two-dimensional knots	0
On torsion in linearized Legendrian contact homology	0
Vaughan Jones at IHES	0
Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs	0
An introduction to Thompson knot theory and to Jones subgroups	0
An alternate approach to Habiro and Lê’s universal invariant of homology three-spheres	0
Minimal grid diagrams of the prime knots with crossing number 14 and arc index 13, 14	0
On the nonorientable 4-genus of double twist knots	0
Non-diffeomorphic minimal genus relative trisections of the same 4-manifold	0
Cable knots obtained by positively twisting torus knots	0
Quantum invariants arising from Uh????????(2|1) are q-holonomic	0
Modified symmetrized integral in G-coalgebras	0
Morse complexes and M -torsions of digraphs	0
A new Garside structure on torus knot groups and some complex braid groups	0
Linking number and folded ribbon unknots	0
Four-page index and linear upper bounds for ribbonlength	0
On invariants for surface-links in entropic magmas via marked graph diagrams	0
Classification of small links in the unmarked solid torus	0
An Alexander-type invariant for doodles	0
Coefficients of Catalan states of lattice crossing II: Applications of ΘA-state expansions	0
Tangle number of virtual rational tangles	0
Psyquandle coloring quivers	0
An example of a non-extendable isotopy of a knot	0
The tightest knot is not necessarily the smallest	0
CWR sequence of invariants of alternating links and its properties	0
Some computations on instanton knot homology	0
The virtual spectrum of linkoids and open curves in 3-space	0
Heegaard Floer invariants for cyclic 3-orbifolds	0
Infinitely many virtual knots with any given sequence of n -writhes	0
The braid indices of pretzel links: A comprehensive study, Part I	0
On the axioms of singquandles	0
Local knots and the prime factorization of links	0
Distinguishing some genus one knots using finite quotients	0
A short remembrance of Vaughan	0
Odd annular Bar-Natan category and ????????(1|1)	0
A note on closed 3-braid knot shadows	0
Index polynomial invariants of virtual knots using invariants for flat virtual knots	0