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Deligne-Beilinson Cohomology of Affine Groups

Authors
  • Hain, Richard
Type
Preprint
Publication Date
Feb 20, 2016
Submission Date
Jul 11, 2015
Identifiers
arXiv ID: 1507.03144
Source
arXiv
License
Yellow
External links

Abstract

The goal of this paper is to develop the theory of Deligne-Beilinson cohomology of affine groups with a mixed Hodge structure. The motivation comes from Hodge theory and the study of motives, where such groups appear. Several of Francis Brown's period computations (arXiv:1407.5167) are interpreted as elements of the DB cohomology of the relative unipotent completion of $SL_2(Z)$ and their cup products. The results in this paper are used in arXiv:1403.6443 where they are used to prove that Pollack's quadratic relations are motivic.

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