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arXiv · 2401.03334

On Shifted Contact Derived Artin Stacks

Kadri İlker Berktav
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Abstract

This is a sequel of our previous work, arXiv:2209.09686, on the development of derived contact geometry, in which we formally introduced shifted contact structures on derived stacks and proved some results for $k$-shifted contact derived schemes, with $k<0$. In this paper, we extend these results from derived schemes to derived Artin stacks. In brief, we first show that for $k<0$, every $k$-shifted contact derived Artin stack admits a contact Darboux atlas. Secondly, we canonically describe the symplectification of a derived Artin stack equipped with a $k$-shifted contact structure, where $k<0$. Lastly, we give several constructions of contact derived stacks using certain cotangent stacks and shifted prequantization structures.

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Kadri İlker Berktav. 2023-11-01. On Shifted Contact Derived Artin Stacks. https://arxiv.org/abs/2401.03334

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