2009/01/30 by Johanna Hennig, Hennig, Johanna, Sam Nelson +1
Computer Science · Mathematics · #57M25 #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Quantum Algebra (math.QA) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0902.0028
openalex publication_date 2009/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The column group is a subgroup of the symmetric group on the elements of a finite blackboard birack generated by the column permutations in the birack matrix. We use subgroups of the column group associated to birack homomorphisms to define an enhancement of the integral birack counting invariant and give examples which show that the enhanced invariant is stronger than the unenhanced invariant.