Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconnections and Index Theory   We investigate index theory in the context of Dirac operators coupled to
superconnections. In particular, we prove a local index theorem for such
operators, and for families of such operators. We investigate eta-invariants
and prove an APS-theorem, and construct a geometric determinant line bundle for
families of such operators, computing its curvature and holonomy in terms of
familiar index theoretic quantities.

28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
3
The categories of this paper are: physics