It is by now well understood that local and extended operators in a QFT are acted upon by generalised symmetries. In the context of supersymmetric gauge theories with interesting moduli spaces of vacua, such as 3d N=4 theories, global symmetries may enjoy a geometric interpretation: they act as isometries of the moduli space. In this talk I will take a defect-based approach to discuss an enhancement of the notion of moduli space, in such a way that it can capture higher-form symmetries and their anomalies. I will demonstrate in a simple class of 3d N=4 theories how previous results about symmetries may be reinterpreted in such a fashion.