Shifted Contact Structures and Their Local Theory
Algebraic Geometry
2025-03-21 v7
Abstract
In this paper, we formally define the concept of shifted contact structures on derived (Artin) stacks and study their local properties in the context of derived algebraic geometry. In this regard, for negatively shifted contact derived -schemes, we develop a Darboux-like theorem and formulate the notion of symplectification.
Keywords
Cite
@article{arxiv.2209.09686,
title = {Shifted Contact Structures and Their Local Theory},
author = {Kadri İlker Berktav},
journal= {arXiv preprint arXiv:2209.09686},
year = {2025}
}
Comments
V07: Example 3.10, the proof of Theorem 3.13, Observations 2.27 and 3.17 revisited; some edits on the published version. See Addendum on the author's webpage for details. Comments are welcome!