From Six Functors Formalisms to Derived Motivic Measures

Abstract

In this paper, we generally describe a method of taking an abstract six functors formalism in the sense of Khan or Cisinski-Déglise, and outputting a derived motivic measure in the sense of Campbell-Wolfson-Zakharevich. In particular, we use this framework to define a lifting of the Gillet-Soué motivic measure.

References in corpus (8)

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• Triangulated categories of mixed motives
• The six operations in equivariant motivic homotopy theory
• On the algebraic K-theory of higher categories
• On exact infinity-categories and the Theorem of the Heart
• On the rational motivic homotopy category
• The Grothendieck ring of varieties and algebraic K-theory of spaces
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