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.