Link invariants from finite Coxeter racks

2008/08/11 by Sam Nelson, Nelson, Sam, Ryan Wieghard +1
Mathematics · #17D99 #57M2 #57M27 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0808.1584

openalex publication_date 2008/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Coxeter racks over ℤ_n and the knot and link invariants they define. We exploit the module structure of these racks to enhance the rack counting invariants and give examples showing that these enhanced invariants are stronger than the unenhanced rack counting invariants.

Citations

• A classifying invariant of knots, the knot quandle

Related

• Rack Module Enhancements of Counting Invariants
• Link invariants from finite racks
• Enhancements of the rack counting invariant via N-reduced dynamical cocycles
• (t,s)-racks and their link invariants
• N-Degeneracy in rack homology and link invariants