We prove the global well-posedness for a L2-critical defocusing cubic
higher-order Schr\"odinger equation, namely i∂t​u+Λku=−∣u∣2u, where Λ=−Δ​ and k≥3,k∈Z in
Rk with initial data u0​∈Hγ,γ>γ(k):=14k−3k(4k−1)​.Comment: Revised Versio