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

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

2012-02-24

arxiv.org/abs/1202.5570v2

Mathematics

Algebraic Topology

6 pages. Corrected version with only minor changes

Scientific paper

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

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