Publications (46)
Stable Equivalence of Knots on Surfaces and Virtual Knot Cobordisms
J. Scott Carter, Seiichi Kamada, Masahico Saito
Triple Linking of Surfaces in 4-Space
J. Scott Carter, Seiichi Kamada, Masahico Saito +1
Invariants of Links in Thickened Surfaces
J. Scott Carter, Daniel S. Silver, Susan G. Williams
Twist Spinning Knotted Trivalent Graphs
J. Scott Carter, Seung Yeop Yang
Quandle Homology Groups, Their Betti Numbers, and Virtual Knots
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +1
Set Theoretic Yang-Baxter Solutions via Fox Calculus
J. Scott Carter, Masahico Saito
Cohomology of Frobenius Algebras and the Yang-Baxter Equation
J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi +2
Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories
J. Scott Carter, Louis H. Kauffman, Masahico Saito
A lower bound for the number of Reidemeister moves of type III
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito +1
Generalizations of Quandle Cocycle Invariants and Alexander Modules from Quandle Modules
J. Scott Carter, Masahico Saito
Cocycle Knot Invariants, Quandle Extensions, and Alexander Matrices
J. Scott Carter, Angela Harris, Marina Appiou Nikiforou +1
Non-orientable surfaces in 4-dimensional space
Yongju Bae, J. Scott Carter, Seonmi Choi +1
Ribbon-moves for 2-knots with 1-handles attached and Khovanov-Jacobsson numbers
J. Scott Carter, Masahico Saito, Shin Satoh
Extensions of Quandles and Cocycle Knot Invariants
J. Scott Carter, Mohamed Elhamdadi, Marina Appiou Nikiforou +1
A knotted 2-dimensional foam with non-trivial cocycle invariant
J. Scott Carter, Atsushi Ishii
Virtual Knot Invariants from Group Biquandles and Their Cocycles
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito +2
Reidemeister/Roseman-type Moves to Embedded Foams in 4-dimensional Space
J. Scott Carter
Bordism of Unoriented Surfaces in 4-Space
J. Scott Carter, Seiichi Kamada, Masahico Saito +1
Braids and branched coverings of dimension three
J. Scott Carter, Seiichi Kamada
Shifting Homomorphisms in Quandle Cohomology and Skeins of Cocycle Knot Invariants
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +1
A Theorem of Sanderson on Link Bordisms in Dimension 4
J. Scott Carter, Seiichi Kamada, Masahico Saito +1
Three-dimensional braids and their descriptions
J. Scott Carter, Seiichi Kamada
A Survey of Quandle Ideas
J. Scott Carter
Quandle Homology Theory and Cocycle Knot Invariants
J. Scott Carter, Masahico Saito
How to Fold a Manifold
J. Scott Carter, Seiichi Kamada
Three dimensions of knot coloring
J. Scott Carter, Daniel S. Silver, Susan G. Williams
Algebraic Structures Derived from Foams
J. Scott Carter, Masahico Saito
Symmetric Extensions of Dihedral Quandles and Triple Points of Non-orientable Surfaces
J. Scott Carter, Kanako Oshiro, Masahico Saito
Quandle Cohomology and State-sum Invariants of Knotted Curves and Surfaces
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +2
Geometric Interpretations of Quandle Homology
J. Scott Carter, Seiichi Kamada, Masahico Saito
Cohomology of the adjoint of Hopf algebras
J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi +1
Cohomology of Categorical Self-Distributivity
J. Scott Carter, Alissa Crans, Mohamed Elhamdadi +1
Diagrammatic Computations for Quandles and Cocycle Knot Invariants
J. Scott Carter, Seiichi Kamada, Masahico Saito
Frobenius Modules and Essential Surface Cobordisms
J. Scott Carter, Masahico Saito
Cocycle Deformations of Algebraic Identities and R-matrices
J. Scott Carter, Alissa Crans, Mohamed Elhamdadi +1
A prismatic classifying space
J. Scott Carter, Victoria Lebed, Seung Yeop Yang
Some Elementary Aspects of 4-dimensional Geometry
J. Scott Carter, David A. Mullens
Twisted quandle homology theory and cocycle knot invariants
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito
Homology for Quandles with Partial Group Operations
J. Scott Carter, Atsushi Ishii, Masahico Saito +1
Computations of Quandle Cocycle Invariants of Knotted Curves and Surfaces
J. Scott Carter, Daniel Jelsovsky, Seiichi Kamada +1
Classical Knot Theory
J. Scott Carter
Ribbon concordance of surface-knots via quandle cocycle invariants
J. Scott Carter, Masahico Saito, Shin Satoh
Cocycle Knot Invariants from Quandle Modules and Generalized Quandle Cohomology
J. Scott Carter, Mohamed Elhamdadi, Matias Graña +1
Alexander Numbering of Knotted Surface Diagrams
J. Scott Carter, Seiichi Kamada, Masahico Saito
Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandles
J. Scott Carter, Mohamed Elhamdadi, Masahico Saito
A geometric method to compute some elementary integrals
J. Scott Carter, Abhijit Champanerkar