Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds

Dennis Borisov, Dominic Joyce

Let $(\mathbf{X},{\omega }_{\mathbf{X}}^{\ast })$ be a separated, $-2$-shifted symplectic derived $\mathbb{C}$-scheme, in the sense of Pantev, Toen, Vezzosi and Vaquie arXiv:1111.3209, of complex virtual…