Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The moduli space of two-convex embedded spheres   We prove that the moduli space of 2-convex embedded n-spheres in R^{n+1} is
path-connected for every n. Our proof uses mean curvature flow with surgery and
can be seen as an extrinsic analog to Marques' influential proof of the
path-connectedness of the moduli space of positive scalar curvature metics on
three-manifolds.

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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph