Affiliation:
1. DipMat, Università degli Studi di Salerno, Via Giovanni Paolo II n°132 , 84084 Fisciano (SA), Italy
Abstract
Abstract
We define $0$-shifted and $+1$-shifted contact structures on differentiable stacks, thus laying the foundations of shifted Contact Geometry. As a side result we show that the kernel of a multiplicative $1$-form on a Lie groupoid (might not exist as a Lie groupoid but it) always exists as a differentiable stack, and it is naturally equipped with a stacky version of the curvature of a distribution. Contact structures on orbifolds provide examples of $0$-shifted contact structures, while prequantum bundles over $+1$-shifted symplectic groupoids provide examples of $+1$-shifted contact structures. Our shifted contact structures are related to shifted symplectic structures via a Symplectic-to-Contact Dictionary.
Publisher
Oxford University Press (OUP)
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