Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Metrics on a closed surface of genus two which maximize the first
  eigenvalue of the Laplacian   In this paper, we settle in the affirmative the
Jakobson-Levitin-Nadirashvili-Nigam-Polterovich conjecture, stating that a
certain singular metric on the Bolza surface, with area normalized, should
maximize the first eigenvalue of the Laplacian.

33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph