Scholarlink

<p>We prove that if a complex genus <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40879_2025_820_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="91" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varphi :\Omega ^U \rightarrow R\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>φ</mi> <mo>:</mo> <msup> <mi mathvariant="normal">Ω</mi> <mi>U</mi> </msup> <mo stretchy="false">→</mo> <mi>R</mi> </mrow> </math></EquationSource> </InlineEquation> is rigid on <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40879_2025_820_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{SU}\)</EquationSource> <EquationSource Format="MATHML"><math> <mtext>SU</mtext> </math></EquationSource> </InlineEquation>-manifolds with a torus action then <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40879_2025_820_Article_IEq3.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varphi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>φ</mi> </math></EquationSource> </InlineEquation> is the elliptic Krichever genus.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On the rigidity of complex Hirzebruch genera on SU-manifolds

  • 期刊论文

  • 发表日期：

    2025年4月24日

查看全文
  • Georgy Chernykh

摘要

We prove that if a complex genus \(\varphi :\Omega ^U \rightarrow R\) φ : Ω U → R is rigid on \(\textrm{SU}\) SU -manifolds with a torus action then \(\varphi \) φ is the elliptic Krichever genus.