Algebraic K‐theory, A1‐homotopy and Riemann–Roch theorems
By Joël Riou. 2009
86 citations recorded by the source corpus.
In this paper, we show that the combination of the constructions done in SGA 6 and the A1‐homotopy theory naturally leads to results on higher algebraic K‐theory. This applies to the operations on algebraic K‐theory, Chern characters and Riemann–Roch theorems.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/76ec2f91f7bd2c13becf4c29d820f4d5767dc629
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In Geometry and Topology
- G. S. Tripathi
- M. Schlichting
- Gonçalo Tabuada
- Clark Barwick
- A. Blanc
- B. Keller
- Tom Bachmann
- Jean Fasel
In Mathematical Physics
- G. S. Tripathi
- M. Schlichting
- Gonçalo Tabuada
- Clark Barwick
- A. Blanc
- B. Keller
- Tom Bachmann
- Jean Fasel
Citations in the corpus
- Geometric models for higher Grothendieck-Witt groups in A1-homotopy theory (2013, methodology): “Our result has already been used in the work of [1,18] and opens the door to a classification of unstable operations in Grothendieck–Witt theory as done in [11] for K -theory.”