Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hecke Correspondence, Stable Maps and the Kirwan Desingularization   We prove that the moduli space of stable maps of degree 2 to the moduli space
of rank 2 stable bundles of fixed determinant O(-x) over a smooth projective
curve of genus g>2 has two irre- ducible components which intersect
transversely. One of them is Kir- wan's partial desingularization of the moduli
space of rank 2 semistable bundles with determinant isomorphic to O(y-x) for
some y in X. The other component is the partial desingularization of
PHom(sl(2)^*;W)//PGL(2) for a vector bundle W of rank g over the Jacobian of X.
We also show that the Hilbert scheme H, the Chow scheme C of conics in N and
the moduli space of stable maps of degree 2 are related by explicit
contractions.

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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: eess