Various Topological Complexities of Small Covers and Real Bott Manifolds
Algebraic Topology
2025-06-11 v1
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.
Cite
@article{arxiv.2306.00916,
title = {Various Topological Complexities of Small Covers and Real Bott Manifolds},
author = {Koushik Brahma and Bikramaditya Naskar and Soumen Sarkar and Subhankar Sau},
journal= {arXiv preprint arXiv:2306.00916},
year = {2025}
}
Comments
19 pages. All comments are welcome