Description

• Title:
  A characterization of $g_2$-minimal normal 3-pseudomanifolds with at most four singularities
• Creator:
  Basak, Biplab;
  Gupta, Raju Kumar;
  Sarkar, Sourav
• Description:
  Let $\Delta$ be a $g_2$-minimal normal 3-pseudomanifold. A vertex in $\Delta$ whose link is not a sphere is called a singular vertex. When $\Delta$ contains at most two singular vertices, its combinatorial characterization is known \cite{BasakSwartz}. In this article, we present a combinatorial characterization of such a $\Delta$ when it has three singular vertices, including one $\mathbb{RP}^2$-singularity, or four singular vertices, including two $\mathbb{RP}^2$-singularities. In both cases, we prove that $\Delta$ is obtained from a one-vertex suspension of a surface, and some boundary complexes of $4$-simplices by applying the combinatorial operations of types connected sums, vertex foldings, and edge foldings
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2024 Biplab Basak, Raju Kumar Gupta, Sourav Sarkar;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2024.09.21
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 64, No 2 (December 2024); 479 - 491;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/55342/39788 ;https://apcz.umk.pl/TMNA/article/view/55342/39789
• Subject:
  Normal pseudomanifolds;
  vertex folding;
  edge folding;
  one-vertex suspension;
  Primary: 57Q05;
  Secondary: 05E45, 51B10, 51E20, 52B70
• Identifier: https://apcz.umk.pl/TMNA/article/view/55342
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other