Various Topological Complexities of Small Covers and Real Bott Manifolds
arXiv:2306.00916 · doi:10.1017/prm.2023.124
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.
19 pages. All comments are welcome