Affine space over triangulated categories: a further invitation to Grothendieck derivators
Paul Balmer, John Zhang
TL;DR
This paper introduces a method to construct affine spaces over triangulated categories within the framework of stable derivators, extending algebraic geometric concepts into a categorical setting.
Contribution
It presents a novel construction of affine space over triangulated categories using stable derivators, bridging algebraic geometry and higher category theory.
Findings
Defines affine space in the context of triangulated categories.
Establishes a framework for polynomial rings over categories.
Provides foundational tools for further categorical geometric studies.
Abstract
We propose a construction of affine space (or "polynomial rings") over a triangulated category, in the context of stable derivators.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology