In mathematics, anonabelian cohomology is anycohomology with coefficients in anonabelian group, asheaf of nonabelian groups or even in atopological space.

Ifhomology is thought of as theabelianization ofhomotopy (cf.Hurewicz theorem), then the nonabelian cohomology may be thought of as a dual ofhomotopy groups.

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See:Nonabelian Poincare Duality (Lecture 8)

• Stacks
• Group cohomology

• Toën, B."Stacks and non-abelian cohomology"(PDF). Archived fromthe 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.

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