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Mathematics > Geometric Topology

Title: Quandle Coloring Quivers of general Torus links by dihedral quandles

Abstract: We completely characterize the coloring quivers of general torus links by dihedral quandles by first exhausting all possible numbers of colorings, followed by determining the interconnections between colorings in each case. The quiver is obtained as function of the number of colorings. The quiver always contains complete subgraphs, in particular a complete subgraph corresponding to the trivial colorings, but the total number of subgraphs in the quiver and the weights of their edges varies depending on the number of colorings.
Comments: 17 pages, 4 tables, 7 figures. Comments are welcome
Subjects: Geometric Topology (math.GT); Combinatorics (math.CO); Quantum Algebra (math.QA)
MSC classes: 57K12, 16Y99
Cite as: arXiv:2403.04534 [math.GT]
  (or arXiv:2403.04534v1 [math.GT] for this version)

Submission history

From: Brooke Jones [view email]
[v1] Thu, 7 Mar 2024 14:34:00 GMT (236kb,D)

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