2017/07/04 by Jieon Kim, Kim, Jieon, 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) #Topological and Geometric Data Analysis #math.GT #math.QA #msc:57M25 #msc:57M27
paper · pdf · doi:10.48550/arxiv.1707.01148
12 pages.To appear in Topology and its Applications
openalex publication_date 2017/07/04 · arxiv created 2018/01/10 · arxiv updated 2018/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce colorings of oriented surface-links by biquasiles using marked graph diagrams. We use these colorings to define counting invariants and Boltzmann enhancements of the biquasile counting invariants for oriented surface-links. We provide examples to show that the invariants can distinguish both closed surface-links and cobordisms and are sensitive to orientation.