A quotient of the stability manifold by an equivalence relation is a real manifold of half dimension, and the original manifold can be reconstructed from the quotient together with the relation ≲.
Contractibility of the geometric stability manifold of a surface
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abstract
Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We then use this result to demonstrate infinitely many new families of surfaces whose stability manifold is contractible.
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2025 1verdicts
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A Real Reduction of the Manifold of Bridgeland Stability Conditions
A quotient of the stability manifold by an equivalence relation is a real manifold of half dimension, and the original manifold can be reconstructed from the quotient together with the relation ≲.