Deligne-Beilinson Cohomology of Affine Groups
Book Section (Chapter)
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.
Full Text
Duke Authors
Cited Authors
- Hain, R
Cited Editors
- Ji, L
Published Date
- 2017
Book Title
- Hodge Theory and $L^2$-analysis
Published By
International Standard Book Number 10 (ISBN-10)
- 1571463518
International Standard Book Number 13 (ISBN-13)
- 9781571463517