Journal of Knot Theory and Its Ramifications

Article	Citations
Linking in tree-manifolds	6
Homflypt skein theory, string topology and 2-categories	6
A polyhedral approach to the arithmetic and geometry of hyperbolic link complements	6
The action of the Kauffman bracket skein algebra of the torus on the Kauffman bracket skein module of the 3-twist knot complement	5
Non-hyperbolic solutions to tangle equations involving composite links	5
A short proof of a theorem of Tanaka on composite knots with symmetric union presentations	4
A short remembrance of Vaughan	4
The Gordian complex of theta-curves	3
Garside groups and geometry: Some thoughts for Patrick Dehornoy	3
Remembering Patrick Dehornoy	3
Carric mat and the further research on bipatite knots	3
Doodles and commutator identities	3
On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots	3
The braid indices of pretzel links: A comprehensive study, Part I	3
Vertex distortion detects the unknot	3
Combinatorial knot theory and the Jones polynomial	2
Reducible surgery in lens spaces and seiferters	2
A note on closed 3-braid knot shadows	2
Group object quandles and their endomorphism nearrings	2
Distinguishing surface-links described by 4-charts with two crossings and eight black vertices	2
The homological arrow polynomial for virtual links	2
Classification of links up to one-two-way pass-move	2
Twist moves and the affine index polynomials of virtual knots	2
Virtual index cocycles and invariants of virtual links	2
The computational complexity of classical knot recognition	2

The non-orientable 4-genus for knots with 10 crossings	2
Embedding Alexander quandles into groups	2
Anomaly-free TQFTs from the super Lie algebra ????????(2|1)	2
On the 3-loop polynomial of genus 1 knots with trivial Alexander polynomial	2
Bieberbach groups and flat manifolds with finite abelian holonomy from Artin braid groups	2
Spatial graph as connected sum of a planar graph and a braid	2
Concordance invariant Υ for balanced spatial graphs using grid homology	2
Erratum: Decompositions of the 3-sphere and lens spaces with three handlebodies	2
Connected sum of virtual knots and F-polynomials	2
3-Bridgeness under adding crossings to alternating 3-bridge knots in a 3-bridge representation	2
On the Volume Density Spectrum of Fully Augmented Links	2
Distinguishing some genus one knots using finite quotients	2
New superbridge index calculations from non-minimal realizations	2
Derivatives of Jones polynomials detect delta moves in virtual knots	2
Braids for unoriented Pretzel links	2
On classification of genus g knots which admit a (1,1)-decomposition	2
More 1-cocycles for classical knots	2
A new Garside structure on torus knot groups and some complex braid groups	2
Bounds in simple hexagonal lattice and classification of 11-stick knots	2
Twisted Alexander invariants for the braid group associated with the Tong–Yang–Ma representation	2
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces	2
The colored Jones polynomial and Kontsevich–Zagier series for double twist knots	2
Cyclic coverings of the 3-sphere branched over wild knots of dynamically defined type	2
Almost all 2-bridge knots are curly	2
Goussarov–Polyak–Viro conjecture for degree three case	1
On universal parity on free two-dimensional knots	1
A free-group valued invariant of free knots	1
Good involutions of generalized Alexander quandles	1
Annular Khovanov homology and meridional disks	1
Arithmetic Chern–Simons theory with real places	1
A new polynomial criterion for periodic knots	1
A prime decomposition theorem for string links in a thickened surface	1
A categorification of the Vandermonde determinant	1
Some congruence of the generalized Alexander invariant for periodic virtual links	1
Tied links in various topological settings	1
Knot quandle decomposition along a torus	1
Geometry of Fully Augmented Links in Doubled 3-Manifolds	1
Memories of Vaughan from his student days and after	1
On hyperelliptic Euclidean 3-manifolds	1
Infinitely many arithmetic alternating links: Class number greater than one	1
Lescop invariants of both the Brieskorn–Hamm manifolds and 3-manifolds obtained by Dehn surgeries on knots	1
All prime knots through 10 crossings have superbridge index ≤ 5	1
On arrow polynomials of checkerboard colorable virtual links	1
Big data approaches to knot theory: Understanding the structure of the Jones polynomial	1
Peripheral elements in reduced Alexander modules: An addendum	1
Singquandles, psyquandles, and singular knots: A survey	1
Quotients of the Gordian and H(2)-Gordian graphs	1
4-Move distance of knots	1
On the uniqueness of Sarkar-Seed-Szabo construction	1
Minimal generating sets of moves for surfaces immersed in the four-space	1

Determinant of the OU matrix of a braid diagram	1
The non-orientable 4-genus of 11 crossing non-alternating knots	1
Explicit volume formula for a hyperbolic tetrahedron in terms of edge lengths	1
Connected sum and crossing numbers of flat virtual knots	1
Local-move identities for the ℤ[t,t−1]-Alexander polynomials of 2-links, the alinking number, and high-dimensional analogues	1
Multivariate Alexander quandles, VI. Metabelian groups and 2-component links	1
A numerical invariant of oriented links	1
Flat-virtual knot: Introduction and some invariants	1
Satellite constructions and geometric classification of Brunnian links	1
Octahedral developing of knot complement II: Ptolemy coordinates and applications	1
The stick number of rail arcs	1
On the geometry of two state models for the colored Jones polynomial	1
Twisted virtual bikeigebras and twisted virtual handlebody-knots	1
A class of locally indicable LOT groups	1
A bracket polynomial for virtual links	1
The Ma–Qiu index and the Nakanishi index for a fibered knot are equal, and ω-solvability	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
Self-dual maps III: Projective links	1
A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots	1
Cable knots obtained by positively twisting torus knots	1
Region crossing change, bicolored diagram and Arf invariant	1
Legendrian negative torus knots in universally tight lens spaces	1
Shrinking braids and left distributive monoid	1
A class of index polynomial invariants for virtual knots using flat virtual knots invariants	1
Identifying non-pseudo-alternating knots by using the free factor property of minimal genus Seifert surfaces	1
Quandle coloring quivers of (p,q)-torus links	1
H(2)-moves on torus links of type (2,2n)	1
Alternating odd pretzel knots and chirally cosmetic surgeries	1
A note on the involutive invariants of certain pretzel knots	1
A Torres-Type Formula for the Alexander Polynomial of Spatial Graphs	1
Integral left-orderable surgeries on genus one fibered knots	1
Petal number of torus knots using superbridge indices	1
One more proof of Vassiliev’s conjecture	1
A diagrammatic approach for determining the braid index of alternating links	1
The average genus of oriented rational links with a given crossing number	0
Clasp pass moves and arrow polynomials of virtual knots	0
Equivariant annular Khovanov homology	0
Ribbonlength of twisted torus knots	0
A lower bound on critical points of the electric potential of a knot	0
Torus knots obtained by negatively twisting torus knots	0
Algebra, topology and the discoveries of Vaughan Jones	0
Decompositions of functions defined on finite sets in ℝd	0
Universal cocycle invariants for singular knots and links	0
On a parameterization of (1,1)-knots	0
Twisted cohomology pairings of knots II; to some Blanchfield pairings	0
Virtual and arrow Temperley–Lieb algebras, Markov traces, and virtual link invariants	0
A polynomial pair invariant of alternating knots and links	0
Left orderability and cyclic branched coverings of rational knots C(2p,2m,2n + 1)	0
Virtual concordance and the generalized Alexander polynomial	0
MC-biquandles and MC-biquandle coloring quivers	0
Crossing numbers and rotation numbers of cycles in a plane immersed graph	0
Crosscap number and epimorphisms of two-bridge knot groups	0
On the algebraic structure of the set of long flat virtual knot diagrams with the connected sum operation	0
Maps on random hypergraphs and random simplicial complexes	0
Generalization of arc shift for twisted knots	0
An introduction to Thompson knot theory and to Jones subgroups	0
Bicategories for TQFTs with defects with structure	0
Framed Thompson groups	0
The photography method: Solving pentagon equation	0
Non-semi-simple TQFT of the sphere with four punctures	0
Preface for Special Issue for Vaughan Jones	0
Minimality of rational knots C(2n + 1,2m,2)	0
On the slice genus of generalized algebraic knots	0
Non-diffeomorphic minimal genus relative trisections of the same 4-manifold	0
Multiflypes of rectangular diagrams of links	0
On the third Ohtsuki invariant for the Brieskorn–Hamm manifolds	0
Remembering Vaughan Jones	0
The ????????2-skein module of lens spaces via the torus and solid torus	0
Some properties of grid homology for MOY graphs	0
Knot invariants for rail knotoids	0
The story behind the photo at the Isaac Newton Institute	0
CWR sequence of invariants of alternating links and its properties	0
Core groups	0
Random hypergraphs, random simplicial complexes and their Künneth-type formulae	0
Behind maths: Federating research(ers)	0
Knots with properties of a trefoil knot concerning unknotting operations	0
Geometry of knots in real projective 3-space	0
The Gordian complexes of knots given by 4-move	0
Multivariate Alexander quandles, V. Constructing the medial quandle of a link	0
Heegaard Floer invariants for cyclic 3-orbifolds	0

Groups generated by Dehn Twists Along Fillings of Surfaces	0
Biquandle bracket quivers	0
A polynomial invariant of Kauffman type for knotoids II	0
A Möbius invariant discretization of O’Hara’s Möbius energy	0
On torsion in linearized Legendrian contact homology	0
Psybrackets, pseudoknots and singular knots	0
Minimal grid diagrams of the prime alternating knots with 12 crossings	0
Knot cobordism and Lee’s perturbation of Khovanov homology	0
Personal recollection of Vaughan F. R. Jones (1952–2020)	0
Characterizing slopes for torus knots, II	0
Extremal Khovanov homology and the girth of a knot	0
Modified symmetrized integral in G-coalgebras	0
Pentagon equations, Voronoi tilings and pure braid groups invariant	0
Infinitely many knots whose Whitehead doubles have the trivial first coefficient Kauffman polynomial	0
The intersection polynomials of a virtual knot II: Connected sums	0
Biquandle brackets and knotoids	0
Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs	0
A new Gram determinant from the Möbius band	0
Parity functors	0
On the potential functions for a link diagram	0
Projectors in the virtual Temperley–Lieb algebra	0
From integrals to combinatorial formulas of finite type invariants — A case study	0
Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices	0
Quantum invariant congruence for periodic links	0
A short presentation of the original Jones polynomial	0
Folded ribbonlength of 2-bridge knots	0
Generalizing the relation between the Kauffman bracket and Jones polynomial	0
Bi-Legendrian rack colorings of Legendrian knots	0
A new bound on odd multicrossing numbers of knots and links	0
Linking number and folded ribbon unknots	0
The genus one complex quantum Chern–Simons representation of the mapping class group	0
On the virtual singular braid monoid	0
Over then under tangles	0
Narrowing the gap between combinatorial and hyperbolic knot invariants via deep learning	0
My memories of Vaughan Jones	0
The tightest knot is not necessarily the smallest	0
A note on Rivin’s interpretation of McShane’s identity as identities for closed geodesics with one self-intersection	0
On the generalized virtual Goeritz matrix for virtual knots	0
Some computations on instanton knot homology	0
Homology of relative trisection and its applications	0
Alteration of Seifert surfaces	0
Peripheral elements in reduced Alexander modules	0
Quantum invariants of links and 3-manifolds with boundary defined via virtual links	0
Kauffman bracket versus Jones polynomial skein modules	0
An example of a non-extendable isotopy of a knot	0
Isolated regions of a link projection	0
On the nonorientable 4-genus of double twist knots	0
Periods of continued fractions and volumes of modular knots complements	0
Remembrance of Vaughan Jones	0
Diquandles and invariants for oriented dichromatic links	0
Clasper concordance, Whitney towers and repeating Milnor invariants	0
Memories of Vaughan Jones	0
The unrestricted virtual braid groups UV Bn	0
Preface for Special Issue for Vaughan Jones	0
The virtual spectrum of linkoids and open curves in 3-space	0
Local-moves on knots and products of knots II	0
On torsion in homology of finite connected quandles	0
Petal grid diagrams of torus knots	0
Region crossing change on origami and link	0
A new framework for the Jones polynomial of fluid knots	0
On long knots in the full torus	0
Erratum: Milnor’s triple linking number and Gauss diagram formulas of 3-bouquet graphs	0
On invariants of surfaces in the 3-sphere	0
Commutator subgroups of singular braid groups	0
Alexander and Markov theorems for generalized knots, I	0
A new invariant of planar knotoids and finite-type invariants	0
Embedded surface invariants via the Broda-Petit construction	0
Categorifying biquandle brackets	0
Regular isotopy classes of link diagrams from Thompson’s groups	0
Fixing the functoriality of Khovanov homology: A simple approach	0
The special shadow-complexity of #k(S1 × S3)	0
On the axioms of singquandles	0
Hyperbolicity of augmented links in the thickened torus	0
The colored Jones polynomial of a cable of the figure-eight knot	0
Presentations of diquandles and diquandle coloring invariants for solid torus knots and links	0
Disingquandles and invariants of dichromatic singular links	0
Distinguishing Legendrian knots in topological types 74, 948, 10136 with maximal Thurston–Bennequin number	0
Linking numbers, quandles and groups	0
Quandle coloring quivers of (p,2)-torus links	0
On twist positive braids with the 2-variable link invariant: 3-braids of width 2	0
The minimum number of coloring of knots	0
Describing realizable Gauss diagrams using the concepts of parity or bipartite graphs	0
Lefschetz open book decompositions of 4-manifolds	0
A photo at the Isaac Newton Institute	0
Trisections induced by the Gluck surgery along certain spun knots	0
The smooth 4-genus of (the rest of) the prime knots through 12 crossings	0
Witten–Reshetikhin–Turaev invariants and indefinite false theta functions for plumbing indefinite H-graphs	0
Virtual parity Alexander polynomial	0
The intersection polynomials of a virtual knot IV: Crossing change and supporting genus	0
An Alexander-type invariant for doodles	0
Non-slice 3-stranded pretzel knots	0
A type DA structure in Khovanov homology	0
Canonical sphere bases for simplicial and cubical complexes	0
2-knot homology and Roseman move	0
Intersection formulas for parities on virtual knots	0