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Application of Cheeger-Gromov theory to the $l^2$-cohomology of harmonic Higgs bundles over covering of finite volume complete manifolds. (arXiv:1810.03863v1 [math.CV])
来源于:arXiv
We review and apply Cheeger-Gromov theory on $l^2$-cohomology of infinite
coverings of complete manifolds with bounded curvature and finite volume.
Applications focus on $l^2$-cohomology of (pullback of) harmonic Higgs bundles
on some covering of Zariski open sets of K\"ahler manifolds. The
$l^2-$Dolbeault to DeRham spectral sequence of these Higgs bundles is seen to
degenerate at $E_2$. 查看全文>>