2008/01/21 by Jeffrey Boerner, Boerner, Jeffrey · 1 citation
Computer Science · Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:57M27
paper · pdf · doi:10.48550/arxiv.0801.3227
pdflatex, 24 pages, 54 figures
arxiv created 2008/01/21 · openalex publication_date 2008/01/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper introduces a homology theory for links in I-bundles over an orientable surface. The theory is unique in that the elements of the chain groups are surfaces instead of diagrams. It is then shown this theory yields the same results as the homology theory constructed by Asaeda, Przytycki and Sikora.