Shifted Contact Structures and Their Local Theory
ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE, vol.33, 2025 (Peer-Reviewed Journal)
- Publication Type: Article / Article
- Volume: 33
- Publication Date: 2025
- Doi Number: 10.5802/afst.1795
- Journal Name: ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE
- Journal Indexes: MathSciNet, zbMATH, Directory of Open Access Journals
- Middle East Technical University Affiliated: No
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 $\mathbb{K}$-schemes, we develop a Darboux-like theorem and formulate the notion of symplectification.