Torus-Fibered Calabi-Yau Threefolds with Non-Trivial Fundamental Group

Burt A. Ovrut, Tony Pantev, Rene Reinbacher

We construct smooth Calabi-Yau threefolds Z, torus-fibered over a dP_9 base, with fundamental group Z_2 X Z_2. To do this, the structure of rational elliptic surfaces is studied an…