Characteristic forms of complex Cartan geometries II

Simple item page
dc.contributor.authorMcKay, Benjamin
dc.date.accessioned2026-02-24T16:50:02Z
dc.date.available2026-02-24T16:50:02Z
dc.date.issued2025-05-26
dc.description.abstractCharacteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic Cartan geometry (for example, a holomorphic conformal structure or a holomorphic projective connection). These relations can be calculated directly from the representation theory of the structure group, without selecting any metric or connection or having any knowledge of the Dolbeault cohomology groups of the manifold. This paper improves on its predecessor [35] by allowing noncompact and non-Kähler manifolds and by deriving invariants in cohomology of vector bundles, not just in scalar Dolbeault cohomology, and computing relations involving Chern–Simons invariants in Dolbeault cohomology. For the geometric structures previously considered in its predecessor, this paper gives stronger results and simplifies the computations. It gives the first results on Chern–Simons invariants of Cartan geometries.en
dc.description.sponsorshipThis article/publication is based upon work from COST Action CaLISTA CA21109 supported by COST (European Cooperation in Science and Technology). www.cost.eu.
dc.description.versionPublished Version
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid110360
dc.identifier.authororcidMcKay, Benjamin§0000-0003-2071-8741
dc.identifier.citationMcKay, B 2025, 'Characteristic forms of complex Cartan geometries II', Advances in Mathematics, vol. 477, 110360, pp. 1-55. https://doi.org/10.1016/j.aim.2025.110360
dc.identifier.doi10.1016/j.aim.2025.110360
dc.identifier.endpage55
dc.identifier.issn0001-8708
dc.identifier.journaltitleAdvances in Mathematics
dc.identifier.otherORCID: /0000-0003-2071-8741/work/206648000
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/10468/18567
dc.identifier.volume477
dc.language.isoen
dc.publisherAcademic Press Inc.
dc.relation.urihttps://www.scopus.com/pages/publications/105005865165
dc.rights© 2025 The Author. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)
dc.rights.accessrightsopen access
dc.rights.licensenameAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.statusPeer reviewed
dc.subjectComplex projective manifold
dc.subjectParabolic geometry
dc.subject[Maths]
dc.titleCharacteristic forms of complex Cartan geometries IIen
dc.typeArticle (peer-reviewed)
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
s11096-025-01891-6_1_.pdf
Size:
1.41 MB
Format:
Adobe Portable Document Format
Download
Collections
School of Mathematical Sciences