Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Defining an SU(3)-Casson/U(2)-Seiberg-Witten integer invariant for
  integral homology 3-spheres   The SU(3)-Casson invariant for integral homology 3-spheres as studied by
Boden-Herald possesses a 'spectral flow obstruction' to being an integer valued
invariant which depends only on the non-degenerate (perturbed) moduli space of
flat SU(3)-connections. This obstruction is the non-trivial spectral flow of a
family of twisted signature operators in 3-dimensions. The parallel
U(2)-Seiberg-Witten construction also has an obstruction but from the
non-trivial spectral flow of a family of twisted Dirac operators. By taking the
SU(3)-flat and U(2)-Seiberg-Witten equations simultaneously the obstructions
can be made to cancel and an integer invariant is obtained.

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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph