TL;DR
This paper introduces the concept of motives for rational homotopy types, aiming to connect motivic theory with rational homotopy theory to deepen understanding of their structures.
Contribution
It presents a novel framework for motives in rational homotopy types, bridging two areas of algebraic topology and algebraic geometry.
Findings
Established a formal definition of motivic rational homotopy types
Explored properties and potential applications of these motives
Laid groundwork for future research in motivic homotopy theory
Abstract
In this paper we introduce and study motives for rational homotopy types.
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