Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge fixing, families index theory, and topological features of the
  space of lattice gauge fields   The families index theory for the overlap lattice Dirac operator is applied
to derive topological features of the space of SU(N) lattice gauge fields on
the 4-torus: The topological sectors, specified by the fermionic topological
charge, are shown to contain noncontractible even-dimensional spheres when
$N\ge3$, and noncontractible circles in the N=2 case. We describe how certain
obstructions to the existence of gauge fixings without the Gribov problem in
the continuum setting correspond on the lattice to obstructions to the
contractibility of these spheres and circles. We also point out a canonical
connection on the space of lattice gauge fields with monopole-like
singularities associated with the spheres.

29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph