Work

Integral Bott--Chern cohomology of Generalized Calabi--Eckmann threefolds

Year: 2026

Type: preprint

Abstract: We compute the integral Bott--Chern cohomology of a class of generalized Calabi--Eckmann manifolds of complex dimension \(3\). Although these manifolds are mutually non-biholomorphic, we show that their integral Bott--Chern cohomology rings are nevertheless isomorphic. A cohomological distinction is then obtained via a characteristic map in cohomology, connecting singular, Dolbeault, and integral Bott--Chern cohomologies.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.35625

Author: Thiella, Federico

Institution: University of Florence

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Università degli Studi di Firenze, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Awards: G4493299110, G5245466801, G810296040, G8588169645

OpenAlex ID: W7214705398

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