Spin structures on loop spaces that characterize string manifolds

DOI10.2140/agt.2016.16.675zbMath1348.57034arXiv1209.1731OpenAlexW1710818744MaRDI QIDQ276567

Konrad Waldorf

Publication date: 4 May 2016

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1731

zbMATH Keywords

spin structurePontryagin classfree loop spacefusion productBrylinski-McLaughlin transgressionfusion spin structurelifting bundle gerbesstring manifold

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (13)

The fermionic integral on loop space and the Pfaffian line bundle ⋮ A rigorous construction of the supersymmetric path integral associated to a compact spin manifold ⋮ Cheeger-Chern-Simons theory and differential string classes ⋮ Fusion of implementers for spinors on the circle ⋮ The Clifford algebra bundle on loop space ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ String geometry vs. spin geometry on loop spaces ⋮ Transgressive loop group extensions ⋮ Gerbes in geometry, field theory, and quantisation ⋮ Higher U(1)-gerbe connections in geometric prequantization ⋮ The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space ⋮ Bigerbes ⋮ String^{𝑐} structures and modular invariants

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