Examples of Compact Simply Connected Holomorphic Symplectic Manifolds Which Are Not Formal
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 Kähler manifold. We also conjecture that this is true for the higher dimensional ones.
Authors
- Daniel Guan (ORCID: https://orcid.org/0000-0002-0938-1669)
Institutions
- University of California, Riverside (US)
- Henan University (CN)
Publication Details
- Journal
- Axioms
- Published
- 2025-03-18
- DOI
- https://doi.org/10.3390/axioms14030226
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China