Shifted Contact Structures and Their Local Theory
ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE, cilt.33, 2025 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33
- Basım Tarihi: 2025
- Doi Numarası: 10.5802/afst.1795
- Dergi Adı: ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE
- Derginin Tarandığı İndeksler: MathSciNet, zbMATH, Directory of Open Access Journals
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
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.