Journal article
Lambda-structure on Grothendieck groups of Hermitian vector bundles
- 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].
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 261.6KB, Terms of use)
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- Publisher copy:
- 10.1007/BF02809904
Authors
- Publisher:
- Springer
- Journal:
- Israel Journal of Mathematics More from this journal
- Volume:
- 122
- Issue:
- 1
- Pages:
- 279-304
- Publication date:
- 2001-12-01
- DOI:
- EISSN:
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1565-8511
- ISSN:
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0021-2172
- Keywords:
- Pubs id:
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pubs:745050
- UUID:
-
uuid:172febcc-4a75-4df8-a214-de4b7bd14175
- Local pid:
-
pubs:745050
- Source identifiers:
-
745050
- Deposit date:
-
2018-05-05
Terms of use
- Copyright holder:
- Hebrew University
- Copyright date:
- 2001
- Notes:
- © Hebrew University 2001. This is the accepted manuscript version of the article. The final version is available online from Springer at: 10.1007/BF02809904
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