Proves a J-adapted Levi-Malcev decomposition for many 2-step solvable Lie algebras, confirming the Fino-Vezzoni conjecture for unimodular cases and characterizing SKT metrics on completely solvable ones.
Real homotopy theory of Kähler manifolds,
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Derives characteristic class formula for LVMB bundles over toric bases and establishes obstructions plus a new example for balanced metrics, with SKT characterization on LVM manifolds.
The authors prove the absence of non-zero trivalent tree-level scattering amplitudes in su(n) field theory toy models via homological perturbation theory and demonstrate non-trivial higher products in an enlarged field space.
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A Levi-type decomposition on two-step solvable Lie algebras with a complex structure
Proves a J-adapted Levi-Malcev decomposition for many 2-step solvable Lie algebras, confirming the Fino-Vezzoni conjecture for unimodular cases and characterizing SKT metrics on completely solvable ones.
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Non-K\"ahler metrics on complex manifolds of LVMB type
Derives characteristic class formula for LVMB bundles over toric bases and establishes obstructions plus a new example for balanced metrics, with SKT characterization on LVM manifolds.
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Field theory of $\mathfrak{su}(n)$: the absence of non-zero scatterings
The authors prove the absence of non-zero trivalent tree-level scattering amplitudes in su(n) field theory toy models via homological perturbation theory and demonstrate non-trivial higher products in an enlarged field space.