A ‘Darboux theorem’ for shifted symplectic structures on derived Artin stacks, with applications

Oren Ben-Bassat, Christopher Brav, Vittoria Bussi, Dominic Joyce

Geometry & Topology · 2015 · 109 citations · 21 references

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Abstract

This is the fifth in a series of papers on the 'k -shifted symplectic derived algebraic geometry' of Pantev, Ton, Vaqui and Vezzosi. We extend our earlier results from (derived) schemes to (derived) Artin stacks. We prove four main results:

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