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<p>We use weighted unfoldings of quivers to provide a categorification of mutations of quivers of types <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10468_2025_10338_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\( I_2(2n) \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>I</mi> <mn>2</mn> </msub> <mrow> <mo stretchy="false">(</mo> <mn>2</mn> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>, thus extending the construction of categorifications of mutations of quivers to all finite types.</p>

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Categorifications of Non-Integer Quivers: Type \( {I_2(2n)}\)

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月17日

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  • Drew Damien Duffield,
  • Pavel Tumarkin

摘要

We use weighted unfoldings of quivers to provide a categorification of mutations of quivers of types \( I_2(2n) \) I 2 ( 2 n ) , thus extending the construction of categorifications of mutations of quivers to all finite types.