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arXiv · 1202.5570

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

E. Macías-Virgós·M. J. Pereira-Sáez
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Abstract

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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E. Macías-Virgós, M. J. Pereira-Sáez. 2012-02-24. An upper bound for the Lusternik-Schnirelmann category of the symplectic group. https://arxiv.org/abs/1202.5570

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