Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Size of a Ricci Flow Neckpinch via Optimal Transport   In this paper we apply techniques from optimal transport to study the
neckpinch examples of Angenent-Knopf which arise through the Ricci flow on
$\mathbb{S}^{n+1}$. In particular, we recover their proof of 'single-point
pinching' along the flow. Using the methods of optimal transportation, we are
able to remove the assumption of reflection symmetry for the metric. Our
argument relies on the heuristic for weak Ricci flow proposed by McCann-Topping
which characterizes super solutions of the Ricci flow by the contractivity of
diffusions.

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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th