Elliptic boundary value problem on non-compact $G$-manifolds
Differential Geometry
2017-03-10 v2 Symplectic Geometry
Abstract
In this paper, an equality between the Hochs-Mathai type index and the Atiyah-Patodi-Singer type index is established when the manifold and the group action are both non-compact, which generalizes a result of Ma and Zhang for compact group actions. As a technical preparation, a problem concerning the Fredholm property of the global elliptic boundary value problems of the Atiyah-Patodi-Singer type on a non-compact manifold is studied.
Keywords
Cite
@article{arxiv.1602.00565,
title = {Elliptic boundary value problem on non-compact $G$-manifolds},
author = {Xiangsheng Wang},
journal= {arXiv preprint arXiv:1602.00565},
year = {2017}
}
Comments
34 pages, 1 figure, various improvements according to referee's suggestion, to be published