Beschreibung
Cyclic L-infinity algebras and shifted symplectic forms
Abstract: Cyclic differential graded Lie algebras and their generalization, cyclic L-infinity algebras, are important in the study of quantum field theories. Kontsevich interpreted them as symplectic formal derived stacks. We explain how this perspective clarifies homological perturbation theory, which may be interpreted as a flow on the derived stack. Using a formal analogue of Cartan calculus, we extend homological perturbation theory to cyclic L-infinity algebras