Description

• Title:
  LS-category and topological complexity of Milnor manifolds and corresponding generalized projective product spaces
• Creator:
  Daundkar, Navnath
• Description:
  Milnor manifolds are a class of certain codimension-$1$ submanifolds of the product of projective spaces. In this paper, we study the LS-category and topological complexity of these manifolds. We determine the exact value of the LS-category and, in many cases, the topological complexity of these manifolds. We also obtain tight bounds on the topological complexity of these manifolds. It is known that Milnor manifolds admit $\mathbb{Z}_2$ and circle actions. We compute bounds on the equivariant LS-category and equivariant topological complexity of these manifolds. Finally, we describe the mod-$2$ cohomology rings of some generalized projective product spaces corresponding to Milnor manifolds and use this information to compute the bound on LS-category and topological complexity of these spaces.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2025 Navnath Daundkar;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2025.03.08
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 65, No 1 (March 2025); 13 - 33;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/59305/41778 ;https://apcz.umk.pl/TMNA/article/view/59305/41779
• Subject:
  LS-category;
  topological complexity;
  generalized projective product spaces;
  Milnor manifolds;
  55M30, 55P15, 57N65
• Identifier: https://apcz.umk.pl/TMNA/article/view/59305
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other