Secondary analytic indices

zbMath1071.58019arXivdg-ga/9503005MaRDI QIDQ4819934

John Lott

Publication date: 5 October 2004

Full work available at URL: https://arxiv.org/abs/dg-ga/9503005

zbMATH Keywords

analytic torsionBorel classflat complex vector bundleBecker-Gottlieb-Dold transferChern-type characterflat duality vector bundle

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52) Noncommutative global analysis, noncommutative residues (58J42) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Related Items (7)

Regulators and cycle maps in higher-dimensional differential algebraic \(K\)-theory ⋮ An index theorem in differential \(K\)-theory ⋮ Differential characters in \(K\)-theory ⋮ Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic 𝐾-theory ⋮ Noncommutative differential \(K\)-theory ⋮ Chern-Simons invariants in \textit{KK}-theory ⋮ Functoriality of real analytic torsion forms.

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