The Space of Stability Conditions on the Projective Plane

Abstract

The space of Bridgeland stability conditions on the bounded derived category of coherent sheaves on P2 has a principle connected component Stab(P2). We show that Stab†(P2) is the union of geometric and algebraic stability conditions. As a consequence, we give a cell decomposition for Stab (P2) and show that Stab†(P2) is contractible. Introduction Motivated… (More)

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