Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers
Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers
We define two tau functions, τ and τ^, on moduli spaces of spectral covers of GL(n) Hitchin systems. Analyzing the properties of τ, we express the rational divisor class of the universal Hitchin’s discriminant in terms of standard generators of the rational Picard group of the moduli spaces of spectral …