Kumar S. Conformal Blocks, Generalized Theta Functions and the Verlinde Formula

Cambridge: Cambridge University Press, 2021. — 538 p.This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.An Introduction to Affine Lie Algebras and the Associated Groups
Space of Vacua and its Propagation
Factorization Theorem for Space of Vacua
Fusion Ring and Explicit Verlinde Formula
Moduli Stack of Quasi-parabolic G-Bundles and its Uniformization
Parabolic G-Bundles and Equivariant G-Bundles
Moduli Space of Semistable G-Bundles Over a Smooth Curve
Identification of the Space of Conformal Blocks with the Space of Generalized Theta Functions
Picard Group of Moduli Space of G-Bundles
Dynkin Index
C-Space and C-Group Functors
Algebraic Stacks
Rank-Level Duality (A Brief Survey)