Motivic homological stability of configuration spaces
Geoffroy Horel, Martin Palmer
TL;DR
This paper extends classical homological stability results for configuration spaces of points in manifolds to the realm of motivic cohomology, providing a new perspective on their algebraic and geometric properties.
Contribution
It introduces a motivic homological stability framework for configuration spaces, bridging topological stability results with algebraic geometry.
Findings
Homological stability results are successfully lifted to motivic cohomology.
New techniques are developed to analyze configuration spaces in the motivic setting.
The work opens avenues for further research in algebraic topology and algebraic geometry.
Abstract
We prove that some of the classical homological stability results for configuration spaces of points in manifolds can be lifted to motivic cohomology.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra