Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Seiberg-Witten invariants and pseudo-holomorphic subvarieties for
  self-dual, harmonic 2-forms   A smooth, compact 4-manifold with a Riemannian metric and b^(2+) > 0 has a
non-trivial, closed, self-dual 2-form. If the metric is generic, then the zero
set of this form is a disjoint union of circles. On the complement of this zero
set, the symplectic form and the metric define an almost complex structure; and
the latter can be used to define pseudo-holomorphic submanifolds and
subvarieties. The main theorem in this paper asserts that if the 4-manifold has
a non zero Seiberg-Witten invariant, then the zero set of any given self-dual
harmonic 2-form is the boundary of a pseudo-holomorphic subvariety in its
complement.

1
The categories of this paper are: cs
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys