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