
TL;DR
This paper provides a comprehensive toolkit for working with Chow-Witt groups and related homology and cohomology theories associated with Milnor-Witt K-theory.
Contribution
It introduces new methods and frameworks for understanding the homology and cohomology of the Rost-Schmid complex in the context of Chow-Witt groups.
Findings
Developed a systematic approach to Chow-Witt groups
Enhanced understanding of Rost-Schmid complex homology
Provided new computational tools for Milnor-Witt K-theory
Abstract
In these lectures, we provide a toolkit to work with Chow-Witt groups, and more generally with the homology and cohomology of the Rost-Schmid complex associated to Milnor-Witt -theory.
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