Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^2$ harmonic forms and the Seiberg-Witten map on non compact four
  manifolds   We explain a new phenomenon on non compact complete Riemannian four
manifolds, where d^+ image of one forms can not exhaust densely on L^2 self
dual forms on each compact subset, if a certain L^2 self dual harmonic form
exists. This leads to construct a new functional analytic framework on the
Seiberg-Witten map.

15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat