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)
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See also
References
- 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. 170. Princeton, NJ: Princeton University Press. ISBN 978-0-691-14049-0. Zbl 1175.18001.
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