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.

Bibliographic Details

Main Author:	Daniel Guan
Format:	Artigo
Language:	Inglês
Published:	MDPI AG 2025-03-01
Series:	Axioms
Subjects:	holomorphic symplectic structure complex manifolds formality lefschetz condition relative Massey products
Online Access:	https://www.mdpi.com/2075-1680/14/3/226
Tags:	Add Tag No Tags, Be the first to tag this record!