2018/11/12 by Martin Čadek, Martin Cadek, M. C. Crabb +6
Engineering · Mathematics · #55R25 #55R40 #55S35 #Advanced Operator Algebra Research #Algebra over a field #Algebraic Topology (math.AT) #Combinatorics #Dimension (graph theory) #Engineering #FOS: Mathematics #Geometric and Algebraic Topology #Group (periodic table) #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematics #Physics #Pure mathematics #Topology (electrical circuits) #Variety (cybernetics) #Vector bundle #math.AT #msc:55R25 #msc:55R40 #msc:55S35
paper · pdf · doi:10.48550/arxiv.1811.04666
published in arXiv (Cornell University) (Cornell University) · 17 pages. Added Appendix
openalex publication_date 2018/11/12 · arxiv created 2019/09/19 · arxiv updated 2019/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper gives a uniform, self-contained and direct approach to a variety of obstruction-theoretic problems on manifolds of dimension 7 and 6. We give necessary and sufficient cohomological criteria for the existence of various G-structures on vector bundles over such manifolds especially using low dimensional representations of the group U(2).