Lambda-structure on Grothendieck groups of Hermitian vector bundles |
| |
Authors: | Damien Roessler |
| |
Affiliation: | (1) Centre de Mathématiques de Jussieu, Université Paris 7 Denis Diderot, 2, place Jussieu, Case Postale 7012, F-75251 Paris Cedex 05, France |
| |
Abstract: | We define a “compactification” of the representation ring of the linear group scheme over Specℤ, in the spirit of Arakelov geometry. We show that it is a λ-ring which is canonically isomorphic to a localized polynomial ring and that it plays a universal role with respect to natural operations on theK 0-theory of hermitian bundles defined by Gillet-Soulé. As a byproduct, we prove that the natural pre-λ-ring structure of theK 0-theory of hermitian bundles is a λ-ring structure. This last result plays a key role in the proof of the main results of [18] and [12]. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|