The geometry of determinant line bundles in noncommutative geometry
Copyright policy )The geometry of determinant line bundles in noncommutative geometry
This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry.
- University of Adelaide Australia
- Institute of Mathematical Sciences India
determinant line bundles, High Energy Physics - Theory, regularity, Noncommutative geometry (à la Connes), connection, index theorem for families, FOS: Physical sciences, Mathematical Physics (math-ph), gauge transformations, dimension spectrum, connections, index theorem, spectral triples, Regularity, spectral triple, determinant line bundle, gauge transformation, High Energy Physics - Theory (hep-th), Index theory and related fixed-point theorems on manifolds, Noncommutative differential geometry, Noncommutative global analysis, noncommutative residues, Mathematical Physics, Determinants and determinant bundles, analytic torsion
determinant line bundles, High Energy Physics - Theory, regularity, Noncommutative geometry (à la Connes), connection, index theorem for families, FOS: Physical sciences, Mathematical Physics (math-ph), gauge transformations, dimension spectrum, connections, index theorem, spectral triples, Regularity, spectral triple, determinant line bundle, gauge transformation, High Energy Physics - Theory (hep-th), Index theory and related fixed-point theorems on manifolds, Noncommutative differential geometry, Noncommutative global analysis, noncommutative residues, Mathematical Physics, Determinants and determinant bundles, analytic torsion
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