This booklet examines the differential geometry of manifolds, loop areas, line bundles and groupoids, and the kin of this geometry to mathematical physics. purposes provided within the publication contain anomaly line bundles on loop areas and anomaly functionals, imperative extensions of loop teams, Kähler geometry of the distance of knots, and Cheeger--Chern--Simons secondary features sessions. It additionally covers the Dirac monopole and Dirac’s quantization of charge.
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