Introduces cohomology rings, Hodge numbers and Witten index for unitary N=(2,2) full VOAs; constructs spectral flow algebraically and proves its periodicities equivalent to top-degree cohomology classes, yielding Poincaré duality, T-duality and Frobenius structures.
Gritsenko, Elliptic genus of Calabi–Yau manifolds and Jacobi and Siegel modular forms, Algebra i Analiz, 11:5 (1999), 100–125; St
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Cohomology ring of unitary $N=(2,2)$ full vertex algebra and mirror symmetry
Introduces cohomology rings, Hodge numbers and Witten index for unitary N=(2,2) full VOAs; constructs spectral flow algebraically and proves its periodicities equivalent to top-degree cohomology classes, yielding Poincaré duality, T-duality and Frobenius structures.