Symplectic canonical class (source code)

= Symplectic canonical class
{title2=$K_\omega=-c_1(TM,J)$}

The symplectic canonical class is the negative <First Chern class> of the tangent bundle for a <compatible almost complex structure>. The <contractibility of compatible almost complex structures> makes it independent of that choice. It is the class appearing in the <symplectic adjunction formula>.