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
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See: [http://www.math.harvard.edu/~lurie/282ynotes/LectureVIII-Poincare.pdf Nonabelian Poincare Duality (Lecture 8)]
See also
References
- {{cite web|first=B. |last=Toën |url=http://www.math.univ-montp2.fr/~toen/msri2002.pdf |title=Stacks and non-abelian cohomology |url-status=dead |archiveurl=https://web.archive.org/web/20140114023724/http://www.math.univ-montp2.fr/~toen/msri2002.pdf |archivedate=January 14, 2014 }}
- {{cite book | last=Lurie | first=Jacob | title=Higher Topos Theory | zbl=1175.18001 | series=Annals of Mathematics Studies | volume=170 | location=Princeton, NJ | publisher=Princeton University Press | isbn=978-0-691-14049-0 | year=2009 }}
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