String Theory Seminar
Thursday, May 10, 2001, 4:00pm
Mina Aganagic
(Harvard
University)
D-branes, Mirror Symmetry and Counting
Holomorphic Discs
A class of special Lagrangian subspaces of Calabi-Yau
manifolds is considered and their mirrors, certain holomorphic
varieties of the mirror geometry, are identified. This transforms
the counting of holomorphic disc instantons ending on the Lagrangian
submanifold to the classical Abel-Jacob map on the mirror.
We discuss flat coordinates on the moduli spaces, and a
certain quantum ambiguity which influences disc counting.
Highly non-trivial new predictions for disc counting are obtained.
video