Quotients of derived symplectic spaces by Gm-actions yield contact structures, enabling a derived Legendrian intersection theorem with applications to moduli stacks.
Calaque,Shifted cotangent stacks are shifted symplectic, Annales de la Facult ´e des sciences de Toulouse: Math´ematiques, 28(1):67–90
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Equivariant Quotients of Derived Symplectic Spaces and Legendrian Intersection Theorem
Quotients of derived symplectic spaces by Gm-actions yield contact structures, enabling a derived Legendrian intersection theorem with applications to moduli stacks.