Higher (equivariant) topological complexity of Milnor manifolds

2023/08/27 by Navnath Daundkar, Daundkar, Navnath, Bittu Singh +1
Mathematics · #55M30 #55P15 #55S40 #57N65 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2308.14138

openalex publication_date 2023/08/27 · openalex created_date 2023/08/31 · openalex updated_date 2026/07/28

Abstract

J. Milnor introduced a specific class of codimension-1 submanifolds in the product of projective spaces, known as Milnor manifolds. This paper establishes precise bounds on the higher topological complexity of these manifolds and provides exact values for this invariant for numerous Milnor manifolds. Furthermore, we improve the upper bounds on the higher equivariant topological complexity. As an application, we obtain sharper bounds on the higher equivariant topological complexity of Milnor manifolds with free ℤ₂ and S¹-actions.

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