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

DOI10.1017/S0305004113000200zbMath1284.55004arXiv1202.5570OpenAlexW2159087524MaRDI QIDQ2845623

Enrique Macias-Virgós, María José Pereira-Sáez

Publication date: 2 September 2013

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5570

zbMATH Keywords

symplecticLusternik-Schnirelmann category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Compact Lie groups of differentiable transformations (57S15)

Related Items (6)

Unnamed Item ⋮ Cayley transform on Stiefel manifolds ⋮ Morse Theory and the Lusternik–Schnirelmann Category of Quaternionic Grassmannians ⋮ Relative singular value decomposition and applications to LS-category ⋮ Homotopic distance and generalized motion planning ⋮ Height functions on compact symmetric spaces

Cites Work

• Minimal coverings of manifolds with balls
• Trace map, Cayley transform and LS category of Lie groups
• Distinguished orbits and the L-S category of simply connected compact Lie groups
• Symplectic matrices with predetermined left eigenvalues
• On the Lusternik-Schnirelmann category of Lie groups
• Lusternik-Schnirelmann theory for fixed points of maps
• Secondary cohomology operations induced by the diagonal mapping
• Stability of critical points under small perturbations. I: Topological theory
• Left eigenvalues of 2 by 2 symplectic matrices
• The Lusternik-Schnirelmann category of 𝑆𝑝(3)
• Unnamed Item

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