Higher (equivariant) topological complexity of Milnor manifolds

IF 0.5 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2025-07-01 DOI:10.1007/s40062-025-00376-7

Navnath Daundkar, Bittu Singh

引用次数: 0

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 \(\mathbb {Z}_2\) and \(S^1\)-actions.

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米尔诺流形的高（等变）拓扑复杂性

米尔诺在射影空间的积中引入了一类特殊的余维数为1的子流形，称为米尔诺流形。本文建立了这些Milnor流形的高拓扑复杂度的精确界，并给出了该不变量的精确值。进一步，我们改进了高等变拓扑复杂度的上界。作为一个应用，我们在具有自由\(\mathbb {Z}_2\)和\(S^1\) -作用的Milnor流形的较高等变拓扑复杂度上得到了更清晰的界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.