scientific article

zbMath1058.53064MaRDI QIDQ2751064

Tilmann Wurzbacher

Publication date: 25 July 2002

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

zbMATH Keywords

symplectic actionsfermionic second quantizationholomorphic determinant bundle

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantization in field theory; cohomological methods (81T70) Axiomatic quantum field theory; operator algebras (81T05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Geometric quantization (53D50)

Related Items (16)

Twistor spaces and spinors over loop spaces ⋮ Hyperkähler structures and infinite-dimensional Grassmannians ⋮ The compatible Grassmannian ⋮ The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits ⋮ The Clifford algebra bundle on loop space ⋮ Bundle gerbes and moduli spaces ⋮ Coadjoint Orbits and the Beginnings of a Geometric Representation Theory ⋮ Implicit functions from topological vector spaces to Banach spaces ⋮ Isometric embeddings of infinite-dimensional Grassmannians ⋮ Hierarchy of Hamilton equations on Banach Lie-Poisson spaces related to restricted Grassmannian ⋮ Extensions of Banach Lie-Poisson spaces ⋮ On Some Geometric Aspects of Coherent States ⋮ Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian ⋮ Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits ⋮ A Generalized Palais-Smale Condition in the Fr\'{e}chet space setting ⋮ Banach algebras associated to Lax pairs

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