GrothendieckWitt groups

General Introduction
See also ChowWitt groups
<]]> 
Search results
<]]> 
Online References
Walter: GrothendieckWitt groups of triangulated cats.
<]]> 
Paper References
<]]> 
Definition
<]]> 
Properties
<]]> 
Standard theorems
<]]> 
Open Problems
<]]> 
Connections to Number Theory
<]]> 
Computations and Examples
<]]> 
History and Applications
<]]> 
Some Research Articles
arXiv:1209.0848 Hermitian Ktheory, derived equivalences and Karoubi's Fundamental Theorem from arXiv Front: math.KT by Marco Schlichting Within the framework of dg categories with weak equivalences and duality that have uniquely 2divisible mapping complexes, we show that higher GrothendieckWitt groups (aka. hermitian Kgroups) are invariant under derived equivalences and that Morita exact sequences induce long exact sequences of GrothendieckWitt groups. This implies an algebraic Bott sequence and a new proof and generalization of Karoubi's Fundamental Theorem. For the higher GrothendieckWitt groups of vector bundles of (possibly singular) schemes with an ample family of linebundles such that 2 is invertible in the ring of regular functions, we obtain MayerVietoris long exact sequences for Nisnevich coverings and blowups along regularly embedded centers, projective bundle formulas, and a Bass fundamental theorem. For coherent GrothendieckWitt groups, we obtain a localization theorem analogous to Quillen's K'localization theorem.
<]]> 
Other Information
<]]> 
Comments Posted
<]]> 
Comments
There are no comments.