The order of curvature operators on loop groups

DOI10.1007/S11005-009-0352-1zbMath1183.58029arXiv0909.4466OpenAlexW2005463404MaRDI QIDQ1034796

Andrés Larraín-Hubach

Publication date: 6 November 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4466

zbMATH Keywords

curvatureloop grouppseudodifferential operatorSobolev order

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Homotopy theory (55P99)

Related Items (3)

Maps from a surface into a compact Lie group and curvature ⋮ The geometry of loop spaces I: H^s-Riemannian metrics ⋮ Chern–Weil Theory for Certain Infinite-Dimensional Lie Groups

Cites Work

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• Fractional loop group and twisted \(K\)-theory
• The geometry of loop groups
• Hamiltonian loop group actions and Verlinde factorization
• The geometry of loop spaces I: H^s-Riemannian metrics

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