First Chern class formula for a symplectic blowup (source code)

= First Chern class formula for a symplectic blowup
{title2=$c_1(T\widetilde X)=\pi^*c_1(TX)-(n-1)\operatorname{PD}[E]$}

For a <symplectic blowup> of a $2n$-dimensional <symplectic manifold>, the displayed formula gives its <First Chern class>. The exceptional divisor has <normal bundle> $\mathcal O(-1)$; the discrepancy coefficient is $n-1$. In dimension four it is one.