Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birational Equivalences of Vortex Moduli   We construct a finite dimensional Kaehler manifold with a holomorphic,
symplectic circle action whose symplectic reduced spaces may be identified with
the tau-vortex moduli spaces (or tau-stable pairs). The Morse theory of the
circle action induces natural birational maps between the reduced spaces for
different values of tau which in the case of rank two bundles can be
canonically resolved in a sequence of blow-ups and blow-downs.

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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: cs