Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac operator index and topology of lattice gauge fields   The fermionic topological charge of lattice gauge fields, given in terms of a
spectral flow of the Hermitian Wilson--Dirac operator, or equivalently, as the
index of Neuberger's lattice Dirac operator, is shown to have analogous
properties to L\"uscher's geometrical lattice topological charge. The main new
result is that it reduces to the continuum topological charge in the classical
continuum limit. (This is sketched here; the full proof will be given in a
sequel to this paper.) A potential application of the ideas behind fermionic
lattice topological charge to deriving a combinatorial construction of the
signature invariant of a 4-manifold is also discussed.

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The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: stat
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an