arXiv Analytics

Sign in

arXiv:1202.5570 [math.AT]AbstractReferencesReviewsResources

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

E. Macías-Virgós, M. J. Pereira-Sáez

Published 2012-02-24, updated 2012-03-06Version 2

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.

Comments: 6 pages. Corrected version with only minor changes
Categories: math.AT
Subjects: 55M30
Related articles: Most relevant | Search more
arXiv:math/0109105 [math.AT] (Published 2001-09-17, updated 2001-11-22)
The product formula for Lusternik-Schnirelmann category
arXiv:math/0202119 [math.AT] (Published 2002-02-13)
A_{\infty}-method in Lusternik-Schnirelmann category
arXiv:math/0111263 [math.AT] (Published 2001-11-26)
The Lusternik-Schnirelmann Category of Sp(3)

Links

Toolbox