Various topological complexities of small covers and real Bott manifolds

Authors

• Koushik Brahma, Indian Institute of Technology Madras
• Bikramaditya Naskar, Indian Institute of Technology Madras
• Soumen Sarkar, Indian Institute of Technology Madras
• Subhankar Sau, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Proceedings of the Royal Society of Edinburgh Section A Mathematics

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.

First Page

1061

Last Page

1086

DOI

10.1017/prm.2023.124

Publication Date

6-1-2025

Recommended Citation

Brahma, Koushik; Naskar, Bikramaditya; Sarkar, Soumen; and Sau, Subhankar, "Various topological complexities of small covers and real Bott manifolds" (2025). Journal Articles. 5657.
https://digitalcommons.isical.ac.in/journal-articles/5657