Fibered Multiderivators and (co)homological descent
Category Theory
2015-11-25 v2 Algebraic Geometry
Algebraic Topology
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.
Cite
@article{arxiv.1505.00974,
title = {Fibered Multiderivators and (co)homological descent},
author = {Fritz Hörmann},
journal= {arXiv preprint arXiv:1505.00974},
year = {2015}
}
Comments
88 pages