Multiple period integrals and cohomology
Number Theory
2016-06-22 v1
Abstract
This work gives a version of the Eichler-Shimura isomorphism with a non-abelian 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 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 non-abelian version of the Eichler-Shimura map.
Keywords
Cite
@article{arxiv.1512.06225,
title = {Multiple period integrals and cohomology},
author = {Roelof Bruggeman and YoungJu Choie},
journal= {arXiv preprint arXiv:1512.06225},
year = {2016}
}