paper

André spectral sequences for Baues-Wirsching cohomology of categories

arXiv:1112.3996 · doi:10.1016/j.jpaa.2012.03.025

Abstract

We construct spectral sequences in the framework of Baues-Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications to more classical cohomology and homology theories including Hochschild-Mitchell cohomology and those studied before by Watts, Roos, Quillen and others.