Abstract
The space of Bridgeland stability conditions on the bounded derived category of coherent sheaves on \(\mathbf {P}^2\) has a principal connected component \(\hbox {Stab}^\dag (\mathbf{P }^2)\). We show that \(\hbox {Stab}^\dag (\mathbf{P }^2)\) is the union of geometric and algebraic stability conditions. As a consequence, we give a cell decomposition for \(\hbox {Stab}^\dag (\mathbf{P }^2)\) and show that \(\hbox {Stab}^\dag (\mathbf{P }^2)\) is contractible.
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Li, C. The space of stability conditions on the projective plane. Sel. Math. New Ser. 23, 2927–2945 (2017). https://doi.org/10.1007/s00029-017-0352-4
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DOI: https://doi.org/10.1007/s00029-017-0352-4