A derived equivalence of the Libgober-Teitelbaum and the Batyrev-Borisov mirror constructions

In this paper we study a particular mirror construction to the complete intersection of two cubics in ${\mathbb{P}}^5$, due to Libgober and Teitelbaum. Using variations of geometric invariant theory and methods of Favero and Kelly, we prove a derived equivalence of this mirror to the Batyrev-Borisov mirror of the complete intersection.