Quillen's relative Chern character is multiplicative

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In the 80's, Quillen constructed a de Rham relative cohomology class associated to a smooth morphism between vector bundles, that we call the relative Quillen Chern character. In the first part of this paper we prove the multiplicativ property of the relative Quillen Chern character. Then we obtain a Riemann-Roch formula between the relative Chern character of the Bott morphism and the relative Thom form.
28 pages. This article will appear in the proceedings of the conference "Algebraic Analysis and Around" in honour of Professor Masaki Kashiwara's 60's birthday

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Differential Geometry, K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/169997

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702575
 http://arxiv.org/abs/math/0702575

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arXiv