On Hirzebruch invariants of elliptic fibrations

Abstract

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.

Cited by in corpus (1)

• Tate Form and Weak Coupling Limits in F-theory