Existence of Universal Connections

1961/07/01 by M. S. Narasimhan, S. Ramanan · 222 citations
Mathematics · #Advanced Topology and Set Theory #Mathematics #Pure mathematics

paper · open access · doi:10.2307/2372896

published in American Journal of Mathematics 83(3), 563 (Johns Hopkins University Press)

openalex publication_date 1961/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Cited by

• Infinitesimal aspects of idempotents in Banach algebras
• Differential Borel equivariant cohomology via connections
• Tertiary classes for a one-parameter variation of flat connections on a smooth manifold
• Topology and Collapse
• A short proof of a Theorem by Hopf
• Immersions in a Quaternionic Grassmannian inducing a given 4-form
• Differential K-theory and localization formula for η-invariants
• Regulators of canonical extensions are torsion: the smooth divisor case
• Loop Groups, Higgs Fields and Generalised String Classes
• Cobordism of symplectic manifolds and asymptotic expansions
• A version of smooth K-theory adapted to the total Chern class
• A report on "Regulators of canonical extension are torsion; the smooth divisor case"
• Volume-minimizing foliations on spheres
• Linear connections for reproducing kernels on vector bundles
• Inverses of structured vector bundles
• Riemannian gauge theory and charge quantization
• On the naturality of the Mathai-Quillen formula
• Characteristic Forms and Geometric Invariants
• Gravitation, gauge theories and differential geometry
• Chern–Weil forms and abstract homotopy theory
• Unifying Geometrical Representations of Gauge Theory
• Group-valued momentum maps for actions of automorphism groups
• Chern–Weil homomorphism [wikipedia]
• Grassmannian [wikipedia]
• Riemannian connection on a surface [wikipedia]