2023/11/01 by Berktav, Kadri İlker
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2401.03334
This is a sequel of our previous work, arXiv:2209.09686, on the development of derived contact geometry, in which we formally introduced shifted contact structures on derived stacks and proved some results for k-shifted contact derived schemes, with k<0. In this paper, we extend these results from derived schemes to derived Artin stacks. In brief, we first show that for k<0, every k-shifted contact derived Artin stack admits a contact Darboux atlas. Secondly, we canonically describe the symplectification of a derived Artin stack equipped with a k-shifted contact structure, where k<0. Lastly, we give several constructions of contact derived stacks using certain cotangent stacks and shifted prequantization structures.