Abstract
We give a version of the Eichler–Shimura isomorphism with a nonabelian in group cohomology. Manin has given a map from vectors of cusp forms to a noncommutative cohomology set by means of iterated integrals. We show that Manin’s map is injective but far from surjective. By extending Manin’s map we are able to construct a bijective map and remarkably this establishes the existence of a nonabelian version of the Eichler–Shimura map.
Citation
Roelof Bruggeman. Youngju Choie. "Multiple period integrals and cohomology." Algebra Number Theory 10 (3) 645 - 664, 2016. https://doi.org/10.2140/ant.2016.10.645
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