3 citations · 4 across the 13 of their papers we have counts for
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Non-trivial ABC-Massey products on complex parallelisable solvmanifolds
Nunzia Cesarino, Tommaso Sferruzza, Adriano Tomassini
Triple Aeppli--Bott--Chern--Massey products, shortly, triple ABC-Massey products are higher-order operations on the Bott--Chern and Aeppli cohomologies of a compact complex manifol…
Invariant forms compute the Dolbeault cohomology of complex nilmanifolds
Keizo Hasegawa, Lorenzo Sillari, Adriano Tomassini
We prove that the inclusion of left-invariant forms into the Dolbeault complex of a compact nilmanifold endowed with a left-invariant complex structure induces an isomorphi…
Biholomorphism type of left-invariant complex structures on nilpotent Lie groups
Keizo Hasegawa, Sönke Rollenske, Lorenzo Sillari +2
In this note we prove a conjecture by Hasegawa stating that a simply connected, nilpotent Lie group of dimension endowed with a left-invariant complex structure is biholomorph…
Symplectic non-Kähler manifolds with and without the Hard Lefschetz Condition
Richard Hind, Adriano Tomassini
In this paper we construct compact manifolds without Kähler structures that admit both a symplectic form satisfying the Hard Lefschetz Condition (HLC) and another symplectic form t…
Non-Kähler Special Lagrangian submanifolds and SYZ mirror symmetry
Tristan C. Collins, Francesca Lusetti, Adriano Tomassini
We determine purely algebraic equations to identify \textit{SLags} generated by invariant distributions in a class of non-Kähler Calabi-Yau manifolds. We determine SLag distributio…