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Cohomology with coefficients in stacks of Picard categories

2011/01/14 by Mamuka Jibladze, Teimuraz Pirashvili, Jibladze, Mamuka +1
Mathematics · #14F05 #18G15 #18G60 #55N30 #55U99 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1101.2918

openalex publication_date 2011/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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