|Joint BCOV/Hodge-de Rham Reading Group|
|Topic:||Calabi-Yau geometry and quantum B-model|
|Date:||Friday, March 17|
|Time/Room:||2:00pm - 3:30pm/S-101|
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 splitting of the Hodge filtration lead to higher genus B-model. We illustrate such quantization and higher genus mirror symmetry by the elliptic curve example.