2013/07/25 by R. Juer, Juer, R., Ulrike Tillmann +2
Mathematics · Physics and Astronomy · #18D10 #57R56 #81T45 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #math-ph #math.AT #math.MP #msc:18D10 #msc:57R56 #msc:81T45
paper · pdf · doi:10.48550/arxiv.1307.6886
30 pages, accepted for publication by Homology, Homotopy and Applications
arxiv created 2013/07/25 · openalex publication_date 2013/07/25 · arxiv updated 2013/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Cobordism categories have played an important role in classical geometry and more recently in mathematical treatments of quantum field theory. Here we will compute localisations of two-dimensional discrete cobordism categories. This allows us, up to equivalence, to determine the category of invertible two-dimensional topological field theories in the sense of Atiyah. We are able to treat the orientable, non-orientable, closed and open cases.