On Shifted Contact Derived Artin Stacks
Abstract
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 -shifted contact derived schemes, with . In this paper, we extend these results from derived schemes to derived Artin stacks. In brief, we first show that for , every -shifted contact derived Artin stack admits a contact Darboux atlas. Secondly, we canonically describe the symplectification of a derived Artin stack equipped with a -shifted contact structure, where . Lastly, we give several constructions of contact derived stacks using certain cotangent stacks and shifted prequantization structures.
Cite
@article{arxiv.2401.03334,
title = {On Shifted Contact Derived Artin Stacks},
author = {Kadri İlker Berktav},
journal= {arXiv preprint arXiv:2401.03334},
year = {2025}
}
Comments
V03: 27 Pages; Example 2.21 and Theorem 3.7 revised; corrections and edits suggested by an anonymous referee; final version to paper in Higher Structures. Comments are welcome! sequel to arXiv:2209.09686