Abstract: |
The Pfaffian-Grassmannian correspondence concerns certain pairs of non-birational Calabi-Yau threefolds which share a mirror partner, and as a consequence are derived equivalent. Physically, such an equivalence is associated to B-brane transport along a path in a mirror symmetry moduli space, and is dependent on the homotopy class of that path: I give a mathematical implementation of this dependency, in terms of mutations of an exceptional collection on the Grassmannian. This follows a physical analysis of Hori and Eager-Hori-Knapp-Romo, and builds on work with Addington and Segal. |