Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connecting the Kontsevich-Witten and Hodge tau-functions by the
  $\hat{GL(\infty)}$ operators   In this paper, we present an explicit formula that connects the
Kontsevich-Witten tau-function and the Hodge tau-function by differential
operators belonging to the $\hat{GL(\infty)}$ group. Indeed, we show that the
two tau-functions can be connected using Virasoro operators. This proves a
conjecture posted by Alexandrov in [1].

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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: patt-sol