Quillen's relative Chern character is multiplicative

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dc.creatorParadan, Paul-Emile
dc.creatorVergne, Michèle
dc.date2007-02-20
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:23Z
dc.date.available2026-07-07T10:05:23Z
dc.descriptionIn 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.
dc.description28 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
dc.identifierhttps://arxiv.org/abs/math/0702575
dc.identifierhttp://arxiv.org/abs/math/0702575
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169997
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.titleQuillen's relative Chern character is multiplicative
dc.typetext

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