Chern root
= Chern root
{c}
{title2=$x_i$}
If a pulled-back complex vector bundle splits as $L_1\oplus\cdots\oplus L_r$, its formal Chern roots are $x_i=c_1(L_i)$. The Chern classes are the elementary symmetric polynomials in these roots.
= Chern root
{c}
{title2=$x_i$}
If a pulled-back complex vector bundle splits as $L_1\oplus\cdots\oplus L_r$, its formal Chern roots are $x_i=c_1(L_i)$. The Chern classes are the elementary symmetric polynomials in these roots.