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- W3167841142 abstract "This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation. We cover the definition of bundle gerbes with connection and their morphisms, and explain the classification of bundle gerbes with connection in terms of differential cohomology. We then survey how the surface holonomy of bundle gerbes combines with their transgression line bundles to yield a smooth bordism-type field theory. Finally, we exhibit the use of bundle gerbes in geometric quantisation of 2-plectic as well as 1- and 2-shifted symplectic forms. This generalises earlier applications of gerbes to the prequantisation of quasi-symplectic groupoids." @default.
- W3167841142 created "2021-06-22" @default.
- W3167841142 creator A5021225544 @default.
- W3167841142 date "2021-01-01" @default.
- W3167841142 modified "2023-10-16" @default.
- W3167841142 title "Gerbes in Geometry, Field Theory, and Quantisation" @default.
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- W3167841142 doi "https://doi.org/10.1515/coma-2020-0112" @default.
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