Multiple period integrals and Cohomology
SCIE
SCOPUS
- Title
- Multiple period integrals and Cohomology
- Authors
- Bruggeman, RW; Choie, Y
- Date Issued
- 2016-06
- Publisher
- ANT
- Abstract
- We give a version of the Eichler-Shimura isomorphism with a nonabelian H-1 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36436
- DOI
- 10.2140/ANT.2016.10.645
- ISSN
- 1937-0652
- Article Type
- Article
- Citation
- Algebra and Number Theory, vol. 10, no. 3, page. 645 - 664, 2016-06
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