Irreducible differential spinors on Lorentzian four-manifolds are reformulated via parabolic pairs and isotropic parallelisms, yielding characterizations of torsion parallel spinors, supersymmetric NS-NS solutions, and an evolution flow compatibility theorem.
Stability of the Type IIA flow and its applications in symplectic geometry
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abstract
In this paper the dynamical stability of the Type IIA flow with no source near its stationary points is established. These stationary points had been shown previously by the authors to be Ricci-flat K\"ahler metrics on Calabi-Yau 3-folds. The dynamical stability of the Type IIA flow is then applied to prove the stability under symplectic deformations of the K\"ahler property for Calabi-Yau 3-folds.
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math.DG 1years
2025 1verdicts
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Torsion parallel spinors on Lorentzian four-manifolds and supersymmetric evolution flows on bundle gerbes
Irreducible differential spinors on Lorentzian four-manifolds are reformulated via parabolic pairs and isotropic parallelisms, yielding characterizations of torsion parallel spinors, supersymmetric NS-NS solutions, and an evolution flow compatibility theorem.