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

E. Macías-Virgós, M. J. Pereira-Sáez

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…