Special Year 2016-17: Homological Mirror Symmetry

Consider $T^*P^1$ as the B-model of a mirror equivalence. It turns out that the A-model mirror depends on choices and I will describe two of these mirrors: one with underlying symplectic manifold the complement of a conic in $T^*S^2$, and the other...

Joint BCOV/Hodge-de Rham Reading Group

March 17, 2017 | 2:00pm - 3:30pm

We discuss the Kadaira-Spencer gauge theory (or BCOV theory) on Calabi-Yau geometry. We explain Givental's loop space formalism at cochain level which leads to a degenerate BV theory on Calabi-Yau manifolds. Homotopic BV quantization together with a...