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

E. Mac\'ias-Virg\'os; M. J. Pereira-S\'aez

arxiv: 1202.5570 · v2 · pith:UEYCAI5Bnew · submitted 2012-02-24 · 🧮 math.AT

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

E. Mac\'ias-Virg\'os , M. J. Pereira-S\'aez This is my paper

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keywords categorygroupsymplecticaboveachievedbinomboundbounded

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

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