K-theory and matrix transfers
K-Theory and Homology
2025-04-09 v1 Algebraic Geometry
Rings and Algebras
Abstract
We introduce and study matrix transfers to achieve elementary models for bivariant -theory. They share lots of common properties with Voevodsky's framed correspondences and lead to symmetric matrix motives of algebraic varieties introduced in this paper. Symmetric matrix motives recover -motives and fit in a closed symmetric monoidal triangulated category of symmetric matrix motives constructed in this paper by using methods of enriched motivic homotopy theory.
Cite
@article{arxiv.2504.06155,
title = {K-theory and matrix transfers},
author = {Grigory Garkusha},
journal= {arXiv preprint arXiv:2504.06155},
year = {2025}
}
Comments
The paper has been written on the occasion of the conference "Recent Developments in Algebraic K-theory", Warwick, UK (April, 2025)