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
[edit]This section needs expansion. You can help by adding to it. (October 2013)
See: Nonabelian Poincare Duality (Lecture 8)
See also
[edit]References
[edit]- Toën, B. "Stacks and non-abelian cohomology" (PDF). Archived from the original (PDF) on January 14, 2014.
- Lurie, Jacob (2009). Higher Topos Theory. Annals of Mathematics Studies. Vol. 170. Princeton, NJ: Princeton University Press. ISBN 978-0-691-14049-0. Zbl 1175.18001.
Text is available under the CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.
Cover photo is available under {{::mainImage.info.license.name || 'Unknown'}} license.
Cover photo is available under {{::mainImage.info.license.name || 'Unknown'}} license.
Credit:
(see original file).
