| dc.contributor.author | Majid, S | |
| dc.contributor.author | Williams, L | |
| dc.date.accessioned | 2021-02-04T15:34:32Z | |
| dc.date.available | 2021-01-07 | |
| dc.date.available | 2021-02-04T15:34:32Z | |
| dc.date.issued | 2021-01 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/70117 | |
| dc.description.abstract | We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space X
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
q
-Hopf fibration on the standard q
q
-sphere. We also construct the Poisson level of the spin connection on a principal bundle. | en_US |
| dc.publisher | National Academy of Science of Ukraine | en_US |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) | |
| dc.rights | This is a pre-copyedited, author-produced version of an article accepted for publication in Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) journal following peer review. The version of record is available https://www.emis.de/journals/SIGMA/2021/006/ | |
| dc.title | Poisson principal bundles | en_US |
| dc.type | Article | en_US |
| dc.rights.holder | © 2021, National Academy of Science of Ukraine | |
| pubs.notes | Not known | en_US |
| pubs.publication-status | Accepted | en_US |
| dcterms.dateAccepted | 2021-01-07 | |
| rioxxterms.funder | Default funder | en_US |
| rioxxterms.identifier.project | Default project | en_US |
