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arXiv:1409.1344 [math.DG]AbstractReferencesReviewsResources

Cobordism invariance and the well-definedness of local index

Hajime Fujita

Published 2014-09-04Version 1

In the previous papers, Furuta, Yoshida and the author gave a definition of analytic index theory of Dirac-type operator on open manifolds by making use of some geometric structure on an open covering of the end of the open manifold and a perturbation of the Dirac-type operator. In this paper we show the cobordism invariance of the index, and as an application we show the well-definedness of the index with respect to the choice of the open covering.

Comments: 16 pages, 1 figure
Categories: math.DG
Subjects: 19K56, 58G20
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