Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Elliptic Gromov-Witten Invariants of Del-Pezzo Surfaces   We obtain a formula for the number of genus one curves with a variable
complex structure of a given degree on a del-Pezzo surface that pass through an
appropriate number of generic points of the surface. This is done using
Getzler's relationship among cohomology classes of certain codimension 2 cycles
in $\overline{M}_{1,4}$ and recursively computing the genus-one Gromov-Witten
invariants of del Pezzo surfaces. Using completely different methods, this
problem has been solved earlier by Bertram and Abramovich, Ravi Vakil, Dubrovin
and Zhang and more recently using Tropical geometric methods by M. Shoval and
E. Shustin. We also subject our formula to several low degree checks and
compare them to the numbers obtained by the earlier authors.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom