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arXiv · 1505.00974

Fibered Multiderivators and (co)homological descent

Fritz Hörmann
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Abstract

The theory of derivators enhances and simplifies the theory of triangulated categories. In this article a notion of fibered (multi-)derivator is developed, which similarly enhances fibrations of (monoidal) triangulated categories. We present a theory of cohomological as well as homological descent in this language. The main motivation is a descent theory for Grothendieck's six operations.

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Fritz Hörmann. 2015-05-05. Fibered Multiderivators and (co)homological descent. https://arxiv.org/abs/1505.00974

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