The singularities of Yang-Mills connections for bundles on a surface. I: The local model

DOI10.1007/BF02572633zbMath0843.58009arXivdg-ga/9411006OpenAlexW2909984845MaRDI QIDQ1909566

Johannes Huebschmann

Publication date: 21 August 1996

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9411006

zbMATH Keywords

Poisson structurerepresentation spacessingularities of smooth mappingsYang-Mills connectionsstratified symplectic spacegeometry of moduli spacesgeometry of principal bundlessymplectic reduction with singularitiesmoduli of holomorphic vector bundles

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Complex-analytic moduli problems (32G13) Algebraic moduli problems, moduli of vector bundles (14D20) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) 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, Moduli of monopole walls and amoebas, Group systems, groupoids, and moduli spaces of parabolic bundles, The singularities of Yang-Mills connections for bundles on a surface. I: The local model, The singularities of Yang-Mills connections for bundles on a surface. II: The stratification, 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

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