1999/11/04 by Gert Roepstorff, G. Roepstorff, Roepstorff, G. +2
Materials Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Magnetism in coordination complexes #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/9911006
42 pages, LaTeX2e, uses AMS fonts
arxiv created 1999/11/04 · openalex publication_date 1999/11/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Motivated by the supersymmetric version of Dirac's theory, chiral models in field theory, and the quest of a geometric fundament for the Standard Model, we describe an approach to the differential geometry of vector bundles on (semi)-Riemannian manifolds based on the concepts of superspaces, superalgebras, superconnections, and generalized Dirac operators. In doing so we stay within the realm of commutative geometry.