Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cobordism invariance and the well-definedness of local index   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.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat