Combinatorial descent data for gerbes

Amnon Yekutieli

doi:10.4171/JNCG/179

Combinatorial descent data for gerbes

Amnon Yekutieli

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We consider descent data in cosimplicial crossed groupoids. This is a combinatorial abstraction of the descent data for gerbes in algebraic geometry. The main result is this: a weak equivalence between cosimplicial crossed groupoids induces a bijection on gauge equivalence classes of descent data.

Original language	English
Pages (from-to)	1083-1099
Number of pages	17
Journal	Journal of Noncommutative Geometry
Volume	8
Issue number	4
DOIs	https://doi.org/10.4171/JNCG/179
State	Published - 1 Jan 2014

Keywords

Cosimplicial crossed groupoids
Descent
Gerbes

ASJC Scopus subject areas

Algebra and Number Theory
Mathematical Physics
Geometry and Topology

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10.4171/JNCG/179

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title = "Combinatorial descent data for gerbes",

abstract = "We consider descent data in cosimplicial crossed groupoids. This is a combinatorial abstraction of the descent data for gerbes in algebraic geometry. The main result is this: a weak equivalence between cosimplicial crossed groupoids induces a bijection on gauge equivalence classes of descent data.",

keywords = "Cosimplicial crossed groupoids, Descent, Gerbes",

author = "Amnon Yekutieli",

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Combinatorial descent data for gerbes

Abstract

Keywords

ASJC Scopus subject areas

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