Eta forms and the Chern Character

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We prove two geometric index theorems for a family of first-order elliptic operators over a manifold with boundary by computing eta form representatives for the Chern character classes of the index bundle. The eta forms occur as relative and regularized traces on infinite-dimensional vector bundles realized as the limiting values of superconnection character forms.
v2: minor changes to Sect.1 and Sect. 4 + various typos. 51 pages

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/65753

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211355
 http://arxiv.org/abs/math/0211355

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arXiv