Geometric models for higher Grothendieck-Witt groups in A1-homotopy theory
By M. Schlichting, G. S. Tripathi. 2013
49 citations recorded by the source corpus.
We show that the higher Grothendieck-Witt groups, a.k.a. algebraic hermitian K-groups, are represented by an infinite orthogonal Grassmannian in the A1-homotopy category of smooth schemes over a regular base for which 2 is a unit in the ring of regular functions. We also give geometric models for various P1- and S1-loop spaces of hermitian K-theory.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4d5708347ada3b36ab9b39df27adbd2924648f9d
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- The generalized slices of Hermitian K‐theory (2016, background): “…crucially a lemma of Voevodsky [ 28 , Proposition 4.4], the detailed study of the geometry of quaternionic Grassmannians by Panin–Walter [ 20 ] and the geometric representability of symplectic K -theory by Quaternionic Grassmannians, as proved by Panin–Walter [ 19 ] and Schlichting–Tripathi [ 24 ].”