Left-invariant almost complex structures on the higher dimensional Kodaira–Thurston manifolds

Thomas Holt, Riccardo Piovani

Research output: Contribution to journalArticlepeer-review


We develop computational techniques which allow us to calculate the Kodaira dimension as well as the dimension of spaces of Dolbeault harmonic forms for left-invariant almost complex structures on the generalised Kodaira–Thurston manifolds.
Original languageEnglish
Article number2
Number of pages19
JournalAnnals of Global Analysis and Geometry
Issue number1
Early online date25 Jun 2024
Publication statusE-pub ahead of print - 25 Jun 2024

Data Availability Statement

Not applicable.


  • 32Q60
  • 53C15
  • 58A14
  • Almost complex manifold
  • Harmonic forms
  • Hodge numbers
  • Kodaira dimension
  • Kodaira–Thurston manifold

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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