English

Cohomology with coefficients in stacks of Picard categories

Algebraic Topology 2011-06-30 v2 Algebraic Geometry

Abstract

Cohomology of a topological space with coefficients in stacks of abelian 2-groups is considered. A 2-categorical analog of the theorem of Grothendieck is proved, relating cohomology of the space with coefficients in a 2-stage spectrum and the Ext groups of appropriate stacks.

Keywords

Cite

@article{arxiv.1101.2918,
  title  = {Cohomology with coefficients in stacks of Picard categories},
  author = {Mamuka Jibladze and Teimuraz Pirashvili},
  journal= {arXiv preprint arXiv:1101.2918},
  year   = {2011}
}