Shifted Contact Structures and Their Local Theory

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.

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!

References in corpus (2)

• Shifted cotangent stacks are shifted symplectic
• Derived Symplectic Reduction and L-Equivariant Geometry