QM Research Seminar: Elliptic Chiral Index, HKR and Holomorphic Anomaly

Speaker: Si Li (Tsinghua University)

Abstract:

We investigate a two-dimensional chiral analogue of the algebraic index theorem via the theory of chiral algebras. We construct a trace map on the elliptic chiral homology of the free \beta-\gamma-bc system, and explain a chiral analogue of Hochschild-Kostant-Rosenberg theorem. We also establish the corresponding holomorphic anomaly equation.