2024/11/24 by Jack Morava, Morava, J
Mathematics · #11M32 #57R56 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2411.15885
openalex publication_date 2024/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Euclidean renormalization bundle considered in QFT by Connes, Kreimer, and Marcolli has been extended, in a remarkable series of papers by S Agarwala, to Riemannian manifolds (X,g): in particular by the construction of a flat connection on that bundle, regarded as defined over a thickening of X by an infinitesimal disk. The theory of Fourier integral operators on manifolds reconciles dimensional and zeta-function regularization by interpreting this disk as the germ of a neighborhood of a Jordan curve around ∞ on the Riemann sphere. Such fields X → ΩS2 were proposed in \cite14 as useful in these contexts.