Enumerative geometry and modularity in two-modulus K3-fibered Calabi-Yau threefolds

Charles Doran, Boris Pioline, Thorsten Schimannek

Motivated in part by the modular properties of enumerative invariants of K3-fibered Calabi-Yau threefolds, we introduce a family of 39 Calabi-Yau mirror pairs $(X,Y)$ with $h_{1,1}…