Hitchin's Connection and Differential Operators with Values in the Determinant Bundle
Hitchin's Connection and Differential Operators with Values in the Determinant Bundle
For a family of smooth curves, we have the associated family of moduli spaces of stable bundles with fixed determinant on the curves. There exists a so called theta line bundle on the family of moduli spaces. When the Kodaira–Spencer map of the family of curves is an isomorphism, we …