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

Thomas Holt; Riccardo  Piovani

doi:10.1007/s10455-024-09961-0

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

Thomas Holt, Riccardo Piovani

Department of Mathematical Sciences

University of Turin

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

Abstract

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 language	English
Article number	2
Number of pages	19
Journal	Annals of Global Analysis and Geometry
Volume	66
Issue number	1
Early online date	25 Jun 2024
DOIs	https://doi.org/10.1007/s10455-024-09961-0
Publication status	Published - 31 Jul 2024

Data Availability Statement

Not applicable.

Funding

The second author is partially supported by GNSAGA of INdAM.

Funders	Funder number
GNSAGA
INdAM

Keywords

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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10.1007/s10455-024-09961-0Licence: CC BY

Cite this

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title = "Left-invariant almost complex structures on the higher dimensional Kodaira–Thurston manifolds",

abstract = "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.",

keywords = "32Q60, 53C15, 58A14, Almost complex manifold, Harmonic forms, Hodge numbers, Kodaira dimension, Kodaira–Thurston manifold",

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AU - Holt, Thomas

AU - Piovani, Riccardo

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N2 - 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.

AB - 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.

KW - 32Q60

KW - 53C15

KW - 58A14

KW - Almost complex manifold

KW - Harmonic forms

KW - Hodge numbers

KW - Kodaira dimension

KW - Kodaira–Thurston manifold

UR - https://www.scopus.com/pages/publications/85196804186

U2 - 10.1007/s10455-024-09961-0

DO - 10.1007/s10455-024-09961-0

M3 - Article

SN - 0232-704X

VL - 66

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 1

M1 - 2

ER -

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

Abstract

Data Availability Statement

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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