Displaying similar documents to “Schwinger terms, gerbes, and operator residues”

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 ℳ 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].

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...