%0 Journal Article
%T Asymptotic Hodge Theory of Vector Bundles
%A Benoit Charbonneau
%A Mark Stern
%J Mathematics
%D 2011
%I arXiv
%R 10.4310/CAG.2015.v23.n3.a4
%X We introduce several families of filtrations on the space of vector bundles over a smooth projective variety. These filtrations are defined using the large k asymptotics of the kernel of the Dolbeault Dirac operator on a bundle twisted by the kth power of an ample line bundle. The filtrations measure the failure of the bundle to admit a holomorphic structure. We study compatibility under the Chern isomorphism of these filtrations with the Hodge filtration on cohomology.
%U http://arxiv.org/abs/1111.0591v1