2005/12/01 by Timothy Porter, Porter, Timothy
Computer Science · Mathematics · #18G50 #55P99 #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis #math.QA #msc:18G50 #msc:55P99
paper · pdf · doi:10.48550/arxiv.math/0512034
21 pages, Contribution to the Streetfest proceedings
arxiv created 2005/12/01 · openalex publication_date 2005/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Simplicial formal maps were introduced in the first paper, (math.QA/0512032), of this series as a tool for studying Homotopy Quantum Field Theories with background a general homotopy 2-type. Here we continue their study, showing how a natural generalisation can handle much more general backgrounds. The question of the geometric interpretation of these formal maps is partially answered in terms of combinatorial bundles. This suggests new interpretations of HQFTs.