Work

Examples of Compact Simply Connected Holomorphic Symplectic Manifolds Which Are Not Formal

Year: 2025

Type: article

Abstract: In this paper, we prove that the complex four dimensional compact holomorphic symplectic manifold we found earlier is not formal. This gives another strong consequence that it is not a topological Kahler manifold. We also conjecture that this is true for the higher dimensional ones.

Source: Axioms

DOI: 10.3390/axioms14030226

Author: Daniel Guan

Institutions: University of California, Riverside, Henan University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China