Eta forms and the Chern Character
微分几何
2007-05-23 v2
摘要
We prove two geometric index theorems for a family of first-order elliptic operators over a manifold with boundary by computing eta form representatives for the Chern character classes of the index bundle. The eta forms occur as relative and regularized traces on infinite-dimensional vector bundles realized as the limiting values of superconnection character forms.
引用
@article{arxiv.math/0211355,
title = {Eta forms and the Chern Character},
author = {S. Scott},
journal= {arXiv preprint arXiv:math/0211355},
year = {2007}
}
备注
v2: minor changes to Sect.1 and Sect. 4 + various typos. 51 pages