The Clifford algebra bundle on loop space
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Publication:6196826
DOI10.3842/sigma.2024.020arXiv2204.00798OpenAlexW4392710683MaRDI QIDQ6196826
Publication date: 15 March 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.00798
General theory of von Neumann algebras (46L10) Spin and Spin({}^c) geometry (53C27) Clifford algebras, spinors (15A66) Automorphisms of selfadjoint operator algebras (46L40) Linear operators in (C^*)- or von Neumann algebras (47C15) Classification of fiber spaces or bundles in algebraic topology (55R15)
Cites Work
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- Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection.
- Spin structures on loop spaces that characterize string manifolds
- A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras
- Isometric embeddings of infinite-dimensional Grassmannians
- Orientation and string structures on loop space
- Semibounded representations and invariant cones in infinite dimensional Lie algebras
- Principal bundles and the Dixmier Douady class
- Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles
- Characteristic forms and geometric invariants
- Fusion of implementers for spinors on the circle
- Twistor spaces and spinors over loop spaces
- The index of projective families of elliptic operators
- States of the Clifford algebra
- Index theory for skew-adjoint Fredholm operators
- Graded Brauer groups and K-theory with local coefficients
- Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
- Locally trivial W∗-bundles
- Topological modular forms and conformal nets
- On the $KK$-theory of strongly self-absorbing $C^{*}$-algebras
- The standard form of von Neumann algebras.
- Infinite Dimensional Groups and Algebras in Quantum Physics
- Transgression to Loop Spaces and its Inverse, I: Diffeological Bundles and Fusion Maps
- Graded Brauer Groups.
- Champs continus d'espaces hilbertiens et de $C^*$-algèbres
- Algebraic topology -- homology and homotopy.
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