Perturbed geodesics on the moduli space of flat connections and Yang-Mills theory

DOI10.1007/s00209-012-1025-9zbMath1267.53043arXiv1006.5340OpenAlexW2082790026MaRDI QIDQ1944799

Rémi Janner

Publication date: 28 March 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5340

zbMATH Keywords

moduli spacegeodesicflat connectionYang-Mills equationadiabatic process

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Geodesics in global differential geometry (53C22) Momentum maps; symplectic reduction (53D20)

Related Items (3)

The Yang-Mills flow for cylindrical end 4-manifolds ⋮ Perturbed geodesics on the moduli space of flat connections and Yang-Mills theory ⋮ Elliptic Yang–Mills flow theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harmonic maps into the moduli spaces of flat connections
• Self-dual instantons and holomorphic curves
• Uhlenbeck compactness
• Perturbed closed geodesics are periodic orbits: index and transversality
• Perturbed geodesics on the moduli space of flat connections and Yang-Mills theory
• Gromov-Witten invariants of symplectic quotients and adiabatic limits
• Stable bundles of rank 2 and odd degree over a curve of genus 2
• Topological properties of some spaces of stable bundles
• The Yang-Mills equations over Riemann surfaces

This page was built for publication: Perturbed geodesics on the moduli space of flat connections and Yang-Mills theory