Add to ORKGA spatial surface is a compact surface embedded in the 3-sphere. In this paper, we provide several typical examples of spatial surfaces and construct a coloring invariant to distinguish them. The coloring is defined by using a multiple group rack, which is a rack version of a multiple conjugation quandle.Comment: 18 pages, 19 figure
Homological mirror symmetry predicts that there is a relation between autoequivalence groups of deri...
The Classification of Surfaces is one of the problems which gave rise to the modern topology. It has...
Motivated by the construction of free quandles and Dehn quandles of orientable surfaces, we introduc...
We give a presentation for a non-split compact surface embedded in the 3-sphere $S^3$ by using diagr...
In this short note we use results from the theory of crystallizations to prove that color in group f...
We consider triangulations of surfaces with edges painted three colors so that edges of each triangl...
We construct a complete invariant of oriented connected closed surfaces in S3, which generalizes the...
There are many approaches to the classification of Morse functions and their gradient fields (Morse ...
The 2-twist spun trefoil is an example of a sphere that is knotted in 4-dimensional space. Here this...
We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmet...
We introduce the axiomatic theory of Spherical Occlusion Diagrams as a tool to study certain combina...
AbstractQuandles with involutions that satisfy certain conditions, called good involutions, can be u...
A graph consists of a set of vertices and a set of edges. A coloring of a graph is an assigning of c...
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a ce...
Abstract. A major breakthrough in the theory of topological algorithms occurred in 1992 when Hyam Ru...
Homological mirror symmetry predicts that there is a relation between autoequivalence groups of deri...
The Classification of Surfaces is one of the problems which gave rise to the modern topology. It has...
Motivated by the construction of free quandles and Dehn quandles of orientable surfaces, we introduc...
We give a presentation for a non-split compact surface embedded in the 3-sphere $S^3$ by using diagr...
In this short note we use results from the theory of crystallizations to prove that color in group f...
We consider triangulations of surfaces with edges painted three colors so that edges of each triangl...
We construct a complete invariant of oriented connected closed surfaces in S3, which generalizes the...
There are many approaches to the classification of Morse functions and their gradient fields (Morse ...
The 2-twist spun trefoil is an example of a sphere that is knotted in 4-dimensional space. Here this...
We prove that a closed embedded minimal surface in the round three-sphere which satisfies the symmet...
We introduce the axiomatic theory of Spherical Occlusion Diagrams as a tool to study certain combina...
AbstractQuandles with involutions that satisfy certain conditions, called good involutions, can be u...
A graph consists of a set of vertices and a set of edges. A coloring of a graph is an assigning of c...
We extend the Billera-Ehrenborg-Readdy map between the intersection lattice and face lattice of a ce...
Abstract. A major breakthrough in the theory of topological algorithms occurred in 1992 when Hyam Ru...
Homological mirror symmetry predicts that there is a relation between autoequivalence groups of deri...
The Classification of Surfaces is one of the problems which gave rise to the modern topology. It has...
Motivated by the construction of free quandles and Dehn quandles of orientable surfaces, we introduc...