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"quote": "\n> [!definition] Definition ([compatible complex structure](../../../../../concepts/symplectic-geometry/compatible-complex-structure))\n> A complex structure $J$ on $\\mathcal M$ is compatible with $\\Omega$ if\n>\n> \n>\n> $$\n> \\Omega(Jv_1,Jv_2)=\\Omega(v_1,v_2).\\tag{26.5}\n> $$\n",
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