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<p>We use the theory of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="220_2025_5274_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="42" /> </InlineMediaObject> <EquationSource Format="TEX">\(x-y\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>x</mi> <mo>-</mo> <mi>y</mi> </mrow> </math></EquationSource> </InlineEquation> duality to propose a new definition/construction for the correlation differentials of topological recursion; we call it <i>generalized topological recursion</i>. This new definition coincides with the original topological recursion of Chekhov–Eynard–Orantin in the regular case and allows, in particular, to get meaningful answers in a variety of irregular and degenerate situations.</p>

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Degenerate and Irregular Topological Recursion

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月4日

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  • A. Alexandrov,
  • B. Bychkov,
  • P. Dunin-Barkowski,
  • M. Kazarian,
  • S. Shadrin

摘要

We use the theory of \(x-y\) x - y duality to propose a new definition/construction for the correlation differentials of topological recursion; we call it generalized topological recursion. This new definition coincides with the original topological recursion of Chekhov–Eynard–Orantin in the regular case and allows, in particular, to get meaningful answers in a variety of irregular and degenerate situations.