Calabi-Yau geometry and quantum B-model

Joint BCOV/Hodge-de Rham Reading Group
Topic:Calabi-Yau geometry and quantum B-model
Speaker:Si Li
Affiliation:Tsinghua University
Date:Friday, March 17
Time/Room:2:00pm - 3:30pm/S-101
Video Link:https://video.ias.edu/HodgeRam/2017/0317-SiLi

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.