Nonabelian cohomology

In mathematics, a nonabelian cohomology is any cohomology with coefficients in a nonabelian group, a sheaf of nonabelian groups or even in a topological space. If homology is thought of as the abelianization of homotopy (cf. Hurewicz theorem), then the nonabelian cohomology may be thought of as a dual of homotopy groups.

## Nonabelian Poincaré duality

See: Nonabelian Poincare Duality (Lecture 8)

## See also

* Stacks
* Group cohomology

## References

* Toën, B.. "Stacks and non-abelian cohomology". Archived from the original on January 14, 2014. https://web.archive.org/web/20140114023724/http://www.math.univ-montp2.fr/~toen/msri2002.pdf.
* Lurie, Jacob (2009). Higher Topos Theory. Annals of Mathematics Studies. 170. Princeton, NJ: Princeton University Press. ISBN 978-0-691-14049-0.

0.00

(0 votes)

Original source: https://en.wikipedia.org/wiki/Nonabelian cohomology. Read more

|

Retrieved from "https://handwiki.org/wiki/index.php?title=Nonabelian_cohomology&oldid=287391"