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.

DOI

https://10.1017/prm.2023.124

Publication Date

1-1-2023

Comments

Open Access, Green

Recommended Citation

Brahma, Koushik; Naskar, Bikramaditya; Sarkar, Soumen; and Sau, Subhankar, "Various topological complexities of small covers and real Bott manifolds" (2023). Journal Articles. 3890.
https://digitalcommons.isical.ac.in/journal-articles/3890