An upper bound for the Lusternik-Schnirelmann category of the symplectic group

Abstract

We prove that the LS category of the symplectic group $Sp(n)$ is bounded above by $\left(\genfrac{}{}{0ex}{}{n+1}{2}\right)$. This is achieved by computing the number of critical levels of a height function.

arXiv comment6 pages. Corrected version with only minor changes