Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A short proof of the lambda_g-conjecture without Gromov-Witten theory:
  Hurwitz theory and the moduli of curves   We give a short and direct proof of the $\lambda_g$-Conjecture. The approach
is through the Ekedahl-Lando-Shapiro-Vainshtein theorem, which establishes the
``polynomiality'' of Hurwitz numbers, from which we pick off the lowest degree
terms. The proof is independent of Gromov-Witten theory.
  We briefly describe the philosophy behind our general approach to
intersection numbers and how it may be extended to other intersection number
conjectures.

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The categories of this paper are: hep-th
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The categories of this paper are: cs
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol