Some remarks on the index theorem approach to anomalies
Maurizio Martellini, Cesare Reina (1985)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Schwinger terms, gerbes, and operator residues”
Some remarks on the index theorem approach to anomalies
Bianchi identities, Yang-Mills and Higgs field produced on -deformed bundle.
Stavrinos, P.C. (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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The singularity structureοf the Yang-Mills configuration space
Jürgen Fuchs (1997)
Banach Center Publications
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The geometric description of Yang–Mills theories and their configuration space is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analysed in detail for structure group SU(2). This review is based on [28].
Geometrical and topological foundations of theoretical physics: from gauge theories to string program.
Boi, Luciano (2004)
International Journal of Mathematics and Mathematical Sciences
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Cohomology and connection on -bundles
Gross, Christian
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Quantum gravity: unification of principles and interactions, and promises of spectral geometry.
Booss-Bavnbek, Bernhelm, Esposito, Giampiero, Lesch, Matthias (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Star products and local line bundles
Richard Melrose (2004)
Annales de l’institut Fourier
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The notion of a local line bundle on a manifold, classified by 2-cohomology with real coefficients, is introduced. The twisting of pseudodifferential operators by such a line bundle leads to an algebroid with elliptic elements with real-valued index, given by a twisted variant of the Atiyah-Singer index formula. Using ideas of Boutet de Monvel and Guillemin the corresponding twisted Toeplitz algebroid on any compact symplectic manifold is shown to yield the star...