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Bogomolov-Guan Manifolds are not formal

Ortiz, Ángel David Ríos
arXiv (All) · Papers
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algebraic-geometrydifferential-geometry
Bogomolov--Guan manifolds form the only known series of compact simply connected non-Kähler holomorphic symplectic manifolds. We prove that all Bogomolov--Guan manifolds of complex dimension at least four are nonformal over $\mathbb{Q}$. The proof constructs a uniform degree-eight $a$-Massey product
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