Math @ Duke

Publications [#320425] of Richard Hain
search www.ams.org.Papers Submitted
 Hain, R, DeligneBeilinson Cohomology of Affine Groups,
in Hodge Theory and $L^2$analysis, edited by Ji, L
(July, 2015), International Press, ISBN 1571463518 [arXiv:1507.03144]
(last updated on 2018/03/18)
Abstract: The goal of this paper is to develop the theory of DeligneBeilinson
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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