Various topological complexities of small covers and real Bott manifolds

IF 1.3 3区数学 Q1 MATHEMATICS

Proceedings of the Royal Society of Edinburgh Section A-Mathematics Pub Date : 2023-12-27 DOI:10.1017/prm.2023.124

Koushik Brahma, Bikramaditya Naskar, Soumen Sarkar, Subhankar Sau

引用次数: 0

Abstract

In this paper, we compute the LS-category and equivariant LS-category of a small cover and its real moment angle manifold. We calculate a tight lower bound for the topological complexity of many small covers over a product of simplices. Then we compute symmetric topological complexity of several small covers over a product of simplices. We calculate the LS one-category of real Bott manifolds and infinitely many small covers.

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小封面和实底流形的各种拓扑复杂性

在本文中，我们计算了小盖及其实矩角流形的 LS 类别和等变 LS 类别。我们计算了简约积上许多小盖的拓扑复杂性的严格下限。然后，我们计算简约积上多个小盖的对称拓扑复杂性。我们计算了实底流形和无限多小盖的 LS 单类别。

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

Proceedings of the Royal Society of Edinburgh Section A-Mathematics 数学-数学

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： A flagship publication of The Royal Society of Edinburgh, Proceedings A is a prestigious, general mathematics journal publishing peer-reviewed papers of international standard across the whole spectrum of mathematics, but with the emphasis on applied analysis and differential equations. An international journal, publishing six issues per year, Proceedings A has been publishing the highest-quality mathematical research since 1884. Recent issues have included a wealth of key contributors and considered research papers.