MW-motivic complexes

Abstract

The aim of this work is to develop a theory parallel to that of motivic complexes based on cycles and correspondences with coefficients in quadratic forms. This framework is closer to the point of view of ${\mathbb{A}}^1$-homotopy than the original one envisioned by Beilinson and set up by Voevodsky.

36 pages

References in corpus (1)

• Triangulated categories of mixed motives

Cited by in corpus (9)

• Fundamental classes in motivic homotopy theory
• On the effectivity of spectra representing motivic cohomology theories
• The Milnor-Witt motivic ring spectrum and its associated theories
• A comparison theorem for MW-motivic cohomology
• Motivic Tambara Functors
• The unit map of the algebraic special linear cobordism spectrum
• Borel isomorphism and absolute purity
• The homomorphism of presheaves ${\mathrm{K}}_{\ast }^{\mathrm{MW}}\to {\pi }_s^{\ast ,\ast }$ over a base
• Zariski-local framed ${\mathbb{A}}^1$-homotopy theory