1111.0017 (James Fullwood et al.)

On Hirzebruch invariants of elliptic fibrations    [PDF]

James Fullwood, Mark van Hoeij

We compute all Hirzebruch invariants $\chi_q$ for $D_5$, $E_6$, $E_7$ and $E_8$ elliptic fibrations of every dimension. A single generating series $\chi(t,y)$ is produced for each family of fibrations such that the coefficient of $t^{k}y^{q}$ encodes $\chi_q$ over a base of dimension $k$, solely in terms of invariants of the base of the fibration.

View original: http://arxiv.org/abs/1111.0017