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Cohomology of the Grothendieck construction

Teimuraz Pirashvili·Maria Julia Redondo
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Abstract

We consider cohomology of small categories with coefficients in a natural system in the sense of Baues and Wirsching. For any funtor L: K -> CAT, we construct a spectral sequence abutting to the cohomology of the Grothendieck construction of L in terms of the cohomology of K and of L(k), for k an object in K.

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Teimuraz Pirashvili, Maria Julia Redondo. 2005-04-13. Cohomology of the Grothendieck construction. https://arxiv.org/abs/math/0504282

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