The additivity of traces in monoidal derivators

DOI10.1017/is014005011jkt262zbMath1349.18015arXiv1212.3277OpenAlexW2963161554MaRDI QIDQ5500787

Moritz Groth, Michael Shulman, Kathleen Ponto

Publication date: 10 August 2015

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.3277

zbMATH Keywords

dualityEuler characteristictracetriangulated categorymonoidal categoryderivator

Mathematics Subject Classification ID

Related Items (16)

Green 2-functors ⋮ A model structure on prederivators for $(\infty,1)$-categories ⋮ Accessibility and presentability in 2-categories ⋮ Abstract tilting theory for quivers and related categories ⋮ \(t\)-structures on stable derivators and Grothendieck hearts ⋮ Additivity of the motivic trace and the motivic Euler-characteristic ⋮ Levelwise modules over separable monads on stable derivators ⋮ Tilting theory for trees via stable homotopy theory ⋮ Künneth formulas for motives and additivity of traces ⋮ Traces in monoidal derivators, and homotopy colimits ⋮ Stabilization of derivators revisited ⋮ The linearity of fixed point invariants ⋮ Tilting theory via stable homotopy theory ⋮ Generalized stability for abstract homotopy theories ⋮ Higher symmetries in abstract stable homotopy theories ⋮ Abstract representation theory of Dynkin quivers of type \(A\)

Cites Work

• Cohomological direct images in model categories
• Derivators, pointed derivators and stable derivators
• A generalization of the functorial calculus
• Cyclic multicategories, multivariable adjunctions and mates
• Higher Topos Theory (AM-170)
• The additivity of traces in triangulated categories
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