The Pfaffian line bundle

DOI10.1007/BF02096939zbMath0785.58009MaRDI QIDQ1201407

David Borthwick

Publication date: 17 January 1993

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

zbMATH Keywords

loop groupsFock space representationKrichever mapinfinite-dimensional Grassmannian

Mathematics Subject Classification ID

Pfaffian systems (58A17) Grassmannians, Schubert varieties, flag manifolds (14M15) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Group structures and generalizations on infinite-dimensional manifolds (58B25) Determinants and determinant bundles, analytic torsion (58J52) Holomorphic bundles and generalizations (32L05) Exterior algebra, Grassmann algebras (15A75)

Related Items (6)

COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION ⋮ Large N limit of SO(N) gauge theory of fermions and Bosons ⋮ String structures and trivialisations of a Pfaffian line bundle ⋮ Stochastic gauge transform of the string bundle ⋮ PRYM VARIETIES AND THE INFINITE GRASSMANNIAN ⋮ Determinants, Pfaffians and Quasi-Free Representations of the CAR Algebra

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