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

2012/02/24 by E. Macías–Virgós, Macías-Virgós, E., M. J. Pereira‐Sáez +1 · 1 citation
Mathematics · #55M30 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1202.5570

openalex publication_date 2012/02/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We prove that the LS category of the symplectic group Sp(n) is bounded above by \binomn+12. This is achieved by computing the number of critical levels of a height function.

Cited by

• Subspace Lusternik-Schnirelmann category of quasi-projective quaternionic spaces

Related

• The Lusternik-Schnirelmann Category of Sp(3)
• Small values of Lusternik-Schnirelmann and systolic categories for manifolds
• Subspace Lusternik-Schnirelmann category of quasi-projective quaternionic spaces
• On the Lusternik-Schnirelmann category of symplectic manifolds and the Arnold conjecture
• Small values of the Lusternik-Schnirelmann category for manifolds