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- W2922801014 abstract "We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space X is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld with bicovariant Poisson-compatible contravariant connection, and the base has an inherited Poisson structure and Poisson-compatible contravariant connection. The latter are known to be the semiclassical data for a quantum differential calculus. The theory is illustrated by the Poisson level of the q-Hopf fibration on the standard q-sphere. We also construct the Poisson level of the spin connection on a principal bundle." @default.
- W2922801014 created "2019-04-01" @default.
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- W2922801014 date "2021-01-13" @default.
- W2922801014 modified "2023-10-01" @default.
- W2922801014 title "Poisson Principal Bundles" @default.
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- W2922801014 doi "https://doi.org/10.3842/sigma.2021.006" @default.
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