Geometry Seminar

Date: October 1, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Guangbo Xu, Simons Center of Geometry and Physics of Stony Brook

Title: Bershadsky-Cecotti-Ooguri-Vafa torsion of Landau-Ginzburg Models

Abstract: In their seminal work in 1994, Bershadsky-Cecotti-Ooguri-Vafa introduced a particular Ray-Singer analytic torsion of Calabi-Yau manifolds which coincides with the genus one topological string partition function. They also proved a holomorphic anomaly formula for this torsion which is related to the variation of Hodge structure and the Weil-Petersson geometry of deformation spaces. In this joint work with Shu Shen and Jianqing Yu, we consider the similar object in Landau-Ginzburg models. We prove an index theorem for the associated Dirac operator and rigorously define the BCOV torsion. We also obtain a partial result towards proving a holomorphic anomaly formula.