Positivity of Riemann-Roch polynomials and Todd classes of hyperkähler manifolds

Chen Jiang

For a hyperkähler manifold $X$ of dimension $2n$, Huybrechts showed that there are constants $a_0,a_2,\dots ,a_{2n}$ such that $$χ(L) =\sum_{i=0}^n\frac{a_{2i}}{(2i)!}q_X(c_1(L))…