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On the functoriality of Lott’s secondary analytic index. (English) Zbl 1007.58017

The author uses results of X. Ma [Functoriality of real analytic torsion form, preprint] to show that the push-forward on the secondary \(K\)-theory of J. Lott [‘Secondary analytic indices’, in Regulators in analysis, geometry, and number theory (Prog. Math. 47, Birkhäuser, Boston), 231-293 (2000)] is functorial with respect to the interation of fiber bundles.

MSC:

58J52 Determinants and determinant bundles, analytic torsion
58J22 Exotic index theories on manifolds
19K56 Index theory
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