Symplectic adjunction formula
= Symplectic adjunction formula
{c}
For a connected embedded symplectic surface $C$ in a symplectic four-manifold,
$$
2g(C)-2=C^2+K_\omega\mathbin{\cdot}C,
$$
where $K_\omega=-c_1(TM,J)$ is the symplectic canonical class for any <compatible almost complex structure>.