Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gromov Invariants for Holomorphic Maps from Riemann Surfaces to
  Grassmannians   Two compactifications of the space of holomorphic maps of fixed degree from a
compact Riemann surface to a Grassmannian are studied. It is shown that the
Uhlenbeck compactification has the structure of a projective scheme and is
dominated by the algebraic compactification arising as a Grothendieck Quot
scheme. The latter may be embedded into the moduli space of solutions to a
generalized version of the vortex equations studied by Bradlow. This gives an
effective way of computing certain intersection numbers (known as Gromov
invariants) on the space of holomorphic maps into Grassmannians. We carry out
these computations in the case where the Riemann surface has genus one.

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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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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: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph