Corrigendum: Gromov-Witten invariants of symplectic quotients and adiabatic limits

We correct an error in [1, Section 11] concerning the domain of definition for the local equivariant symplectic action. Let (M, ω) be a symplectic manifold equipped with a Hamiltonian action by a compact Lie group G. Identify the Lie algebra g = Lie(G) with its dual by an invariant inner product and let μ : M → g be a moment map for the action. We assume that μ is proper and G acts freely on μ(0). Identify S ∼= R/2πZ and let (x, η) : S → M × g be a smooth loop. The equivariant length of the loop (x, η) is defined by