Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area
  and Morse Index   We show that a bumpy closed Riemannian manifold $(M^{n+1}, g)$ $(3 \leq n+1
\leq 7)$ admits a sequence of connected closed embedded two-sided minimal
hypersurfaces whose areas and Morse indices both tend to infinity. This
improves a previous result by O. Chodosh and C. Mantoulidis on connected
minimal hypersurfaces with arbitrarily large area.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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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: supr-con
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The categories of this paper are: comp-gas