scientific article

zbMath0595.22016MaRDI QIDQ3726376

Daniel S. Freed

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

flag manifoldcurvaturerepresentation theoryindex theoremdual Coxeter numberintrinsic geometryfirst Chern classFredholm structureholonomy bundlecompact simple Lie grouphomogeneous Kähler metricsfamilies of Fredholm operatorsinfinite dimensional Hilbert manifoldsaffine Kač-Moody groupinstantons on the 4-sphereKač character formulaKač-Moody groupssmooth based loops

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Fredholm structures on infinite-dimensional manifolds (58B15) Differential geometry of symmetric spaces (53C35) Infinite loop spaces (55P47)

Related Items (12)

Quantum topological geometrodynamics ⋮ Another construction of the central extension of the loop group ⋮ A finiteness theorem of harmonic maps from compact Lie groups to \(O_{HS}(H)\). Harmonic maps between groups ⋮ Geometric structures of super-(Diff\((S^ 1)/S^ 1)\) ⋮ String structures on loop bundles ⋮ On the DeWitt metric ⋮ Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras ⋮ Volumes of compact manifolds ⋮ Holomorphic geometry of non-perturbative superstring theories ⋮ Manifolds over function algebras and mapping spaces ⋮ Universal Teichmüller space in geometry and physics ⋮ Anomalies and curvature of \(W\) manifolds

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