Joint BCOV/Hodge-de Rham Reading Group

Calabi-Yau geometry and quantum B-model

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.

Date & Time

March 17, 2017 | 2:00pm – 3:30pm

Affiliation

Tsinghua University

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