TL;DR
This paper compares the weight and stable rank filtrations in algebraic K-theory and explores their connection to the Beilinson-Soulé vanishing conjecture and a new connectivity conjecture.
Contribution
It introduces a comparison between weight and stable rank filtrations and relates these to significant conjectures in algebraic K-theory.
Findings
Established a relationship between weight and stable rank filtrations.
Connected the Beilinson-Soulé vanishing conjecture to a new connectivity conjecture.
Provided insights into the structure of algebraic K-theory filtrations.
Abstract
We compare the weight and stable rank filtrations of algebraic K-theory, and relate the Beilinson-Soul\'e vanishing conjecture to the author's connectivity conjecture.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology