For an analytic K3 surface with Picard group zero, the mass map from the projective stability manifold to the space of masses of semi-rigid objects is a homeomorphism onto an open disk whose closure is a closed disk.
Stability conditions on K3 surfaces via mass of spherical objects
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abstract
We prove that a stability condition on a K3 surface is determined by the masses of spherical objects up to a natural $\mathbb{C}$-action. This is motivated by the result of Huybrechts and the recent proposal of Bapat-Deopurkar-Licata on the construction of a compactification of a stability manifold. We also construct lax stability conditions in the sense of Broomhead-Pauksztello-Ploog-Woolf associated to spherical bundles.
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The Thurston compactification of the stability manifold of a generic analytic K3 surface
For an analytic K3 surface with Picard group zero, the mass map from the projective stability manifold to the space of masses of semi-rigid objects is a homeomorphism onto an open disk whose closure is a closed disk.