Invariant tubular neighborhoods in infinite-dimensional Riemannian geometry, with applications to Yang-Mills theory

DOI10.1007/s00013-011-0239-0zbMath1232.58003arXiv1006.0063OpenAlexW2963805857WikidataQ115390108 ScholiaQ115390108MaRDI QIDQ719667

Daniel A. Ramras

Publication date: 11 October 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0063

zbMATH Keywords

Yang-Mills theorySliceTubular neighborhood

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (1)

Slice theorem and orbit type stratification in infinite dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the differential geometry of tangent bundles of Riemannian manifolds
• Yang-Mills connections on nonorientable surfaces
• The topology of the space of stable bundles on a compact Riemann surface
• Uhlenbeck compactness
• Orientability in Yang-Mills theory over nonorientable surfaces
• Harmonic sections in sphere bundles, normal neighborhoods of reduction loci, and instanton moduli spaces on definite 4-manifolds
• Topics in differential topology
• Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms
• On the Yang–Mills stratification for surfaces
• Characteristic Classes. (AM-76)
• The Yang-Mills equations over Riemann surfaces
• On the space of Riemannian metrics

This page was built for publication: Invariant tubular neighborhoods in infinite-dimensional Riemannian geometry, with applications to Yang-Mills theory