Combinatorial Descent Data for Gerbes

Details Combinatorial Descent Data for Gerbes Combinatorial Descent Data for Gerbes

2011-09-09

arxiv.org/abs/1109.1919v2

Mathematics

K-Theory and Homology

10 pages, 2 figures. v2: 12 pages, added some remarks and references

Scientific paper

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.

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