Hodge Theory and $L^2$-analysis
Deligne-Beilinson Cohomology of Affine Groups
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- Chapter
Hain, R
2017
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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ISBN
9781571463517
Publication Date
2017
Publisher
International Press
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
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Hain, R. (2017). Deligne-Beilinson Cohomology of Affine Groups. In L. Ji (Ed.), Hodge Theory and $L^2$-analysis. International Press.
Hain, R. “Deligne-Beilinson Cohomology of Affine Groups.” In Hodge Theory and $L^2$-Analysis, edited by L. Ji. International Press, 2017.
Hain R. Deligne-Beilinson Cohomology of Affine Groups. In: Ji L, editor. Hodge Theory and $L^2$-analysis. International Press; 2017.
Hain, R. “Deligne-Beilinson Cohomology of Affine Groups.” Hodge Theory and $L^2$-Analysis, edited by L. Ji, International Press, 2017.
Hain R. Deligne-Beilinson Cohomology of Affine Groups. In: Ji L, editor. Hodge Theory and $L^2$-analysis. International Press; 2017.
ISBN
9781571463517
Publication Date
2017
Publisher
International Press
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics