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Magnetic activity and rotation are known to be intimately linked for low-massstars. Understanding rotation evolution over the stellar lifetime is thereforean important goal within stellar astrophysics. In recent years, there has beenincreased focus on how the complexity of the stellar magnetic field affects therate of angular momentum-loss from a star. This is a topic that Zeeman-Dopplerimaging (ZDI), a technique that is capable of reconstructing the large-scalemagnetic field topology of a star, can uniquely address.  Using a potential field source surface model, we estimate the open flux, massloss-rate and angular momentum-loss rates for a sample of 66 stars that havebeen mapped with ZDI. We show that the open flux of a star is predominantlydetermined by the dipolar component of its magnetic field for our choice ofsource surface radius. We also show that, on the main sequence, the open flux,mass- and angular momentum-loss rates increase with decreasing Rossby number.The exception to this rule is stars less massive than $0.3M_{\odot}$. Previouswork suggests that low mass M dwarfs may possess either strong, ordered anddipolar fields or weak and complex fields. This range of field strengthsresults in a large spread of angular momentum-loss rates for these stars andhas important consequences for their spin down behaviour. Additionally, ourmodels do not predict a transition in the mass-loss rates at the so called winddividing line noted from Ly$\alpha$ studies.

Studying stellar spin-down with Zeeman-Doppler magnetograms