A gerbe obstruction to quantization of fermions on odd-dimensional manifolds with boundary.

DOI10.1023/A:1007676919822zbMath1038.58027arXivhep-th/9912003OpenAlexW3101609513MaRDI QIDQ1580926

Jouko Mickelsson, Alan L. Carey

Publication date: 6 December 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9912003

zbMATH Keywords

Hamiltonian quantizationgerbeDirac boundary value problems

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Applications of PDEs on manifolds (58J90) Exotic index theories on manifolds (58J22) Group structures and generalizations on infinite-dimensional manifolds (58B25) Index theory (19K56)

Related Items (7)

Twistor spaces and spinors over loop spaces ⋮ On the relationship of gerbes to the odd families index theorem ⋮ The basic bundle gerbe on unitary groups ⋮ Anomalies and Schwinger terms in NCG field theory models ⋮ The caloron correspondence and higher string classes for loop groups ⋮ Quasi-periodic paths and a string 2-group model from the free loop group ⋮ Differential twisted K-theory and applications

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