The singularities of Yang-Mills connections for bundles on a surface. II: The stratification

DOI10.1007/BF02622101zbMath0844.58011arXivdg-ga/9411007OpenAlexW3016433070WikidataQ125988390 ScholiaQ125988390MaRDI QIDQ1910184

Johannes Huebschmann

Publication date: 29 August 1996

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9411007

zbMATH Keywords

Poisson structurerepresentation spacessingularities of smooth mappingsmoduli of vector bundlesYang-Mills connectionsstratified symplectic spacegeometry of moduli spacesgeometry of principal bundlessymplectic reduction with singularities

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Poisson geometry of certain moduli spaces for bundles on a surface, Yang-Mills and Dirac fields in a bag, constraints and reduction, Group systems, groupoids, and moduli spaces of parabolic bundles, The singularities of Yang-Mills connections for bundles on a surface. I: The local model, Symplectic and Poisson structures of certain moduli spaces. I, Yang-Mills moduli spaces over an orientable closed surface via Fréchet reduction, Smooth structures on certain moduli spaces for bundles on a surface, The formal Kuranishi parameterization via the universal homological perturbation theory solution of the deformation equation, Symmetry and gauge freedom, Poisson structures on certain moduli spaces for bundles on a surface

Cites Work

• Geometric structure on the orbit space of gauge connections
• Semistable bundles over an elliptic curve
• The singularities of Yang-Mills connections for bundles on a surface. I: The local model
• Vector Bundles Over an Elliptic Curve