The norm map on the Bloch group for quadratic extensions
Vasily Bolbachan

TL;DR
This paper derives an explicit formula for the norm map on the Bloch group in quadratic extensions, building on Rudenko's proof of homotopy invariance of polylogarithmic complexes.
Contribution
It provides the first explicit formula for the norm map on the Bloch group specifically for quadratic extensions, leveraging recent homotopy invariance results.
Findings
Explicit formula for the norm map in quadratic extensions
Extension of homotopy invariance to norm map properties
Enhanced understanding of polylogarithmic complexes
Abstract
D. Rudenko proved the homotopy invariance of the truncated polylogarithmic complexes. It follows that on these complexes there is the norm map with good proprieties. We apply his result and get the explicit formula for the norm map in the case of quadratic extensions.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality
