Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Seiberg-Witten type equations on compact symplectic 6-manifolds   In this article, we consider a gauge-theoretic equation on compact symplectic
6-manifolds, which forms an elliptic system after gauge fixing. This can be
thought of as a higher-dimensional analogue of the Seiberg-Witten equation. By
using the virtual neighbourhood method by Ruan, we define an integer-valued
invariant, a 6-dimensional Seiberg-Witten invariant, from the moduli space of
solutions to the equations, assuming that the moduli space is compact; and it
has no reducible solutions. We prove that the moduli spaces are compact if the
underlying manifold is a compact Kahler threefold. We then compute the integers
in some cases.

14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
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The categories of this paper are: nlin
19
The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph