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Article Dans Une Revue Advanced Studies in Pure Mathematics Année : 2009

Quillen's relative Chern character is multiplicative

Résumé

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.
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Dates et versions

hal-00132122 , version 1 (20-02-2007)
hal-00132122 , version 2 (08-04-2008)
hal-00132122 , version 3 (26-09-2008)

Identifiants

Citer

Paul-Emile Paradan, Michèle Vergne. Quillen's relative Chern character is multiplicative. Advanced Studies in Pure Mathematics, 2009, Algebraic Analysis and Around: In Honor of Professor Masaki Kashiwara's 60th Birthday (54), pp.255-291. ⟨10.1142/e016⟩. ⟨hal-00132122v3⟩
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