Shifted symplectic structures on derived Quot-stacks II -- Derived Quot-schemes as dg manifolds
arXiv:2312.02815 · doi:10.1016/j.aim.2024.110092
Abstract
It is proved that derived Quot-schemes, as defined by Ciocan-Fontanine and Kapranov, are represented by dg manifolds of finite type. This is the second part if a work aimed to analyze shifted symplectic structures on moduli spaces of coherent sheaves on Calabi--Yau manifolds. The first part related dg manifolds to derived schemes as defined by Toën and Vezzosi.