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arXiv:1602.00565 [math.DG]AbstractReferencesReviewsResources

Elliptic boundary value problem on non-compact $G$-manifolds

Xiangsheng Wang

Published 2016-02-01Version 1

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.

Comments: 31 pages
Categories: math.DG, math.SG
Subjects: 58J32, 58F06, 58J20, 53D50, 53C27
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