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dc.contributor.authorDunajski, M
dc.date.accessioned2022-03-14T16:07:49Z
dc.date.available2022-03-14T16:07:49Z
dc.date.issued2022
dc.date.submitted2021-09-16
dc.identifier.issn0010-3616
dc.identifier.others00220-021-04270-0
dc.identifier.other4270
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/334964
dc.description.abstractWe construct the normal forms of null-K\"ahler metrics: pseudo-Riemannian metrics admitting a compatible parallel nilpotent endomorphism of the tangent bundle. Such metrics are examples of non-Riemannian holonomy reduction, and (in the complexified setting) appear in the Bridgeland stability conditions of the moduli spaces of Calabi-Yau three-folds. Using twistor methods we show that, in dimension four - where there is a connection with dispersionless integrability - the cohomogeneity-one anti-self-dual null-K\"ahler metrics are generically characterised by solutions to Painlev\'e I or Painlev\'e II ODEs.
dc.languageen
dc.publisherSpringer Science and Business Media LLC
dc.subjectArticle
dc.titleNull Kähler Geometry and Isomonodromic Deformations
dc.typeArticle
dc.date.updated2022-03-14T16:07:48Z
prism.endingPage105
prism.issueIdentifier1
prism.publicationNameCommunications in Mathematical Physics
prism.startingPage77
prism.volume391
dc.identifier.doi10.17863/CAM.82402
dcterms.dateAccepted2021-11-04
rioxxterms.versionofrecord10.1007/s00220-021-04270-0
rioxxterms.versionVoR
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
dc.identifier.eissn1432-0916
cam.issuedOnline2021-12-08


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