We define two tau functions, τ and , 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 covers with variable base. The function is used to compute the divisor of canonical 1-forms with multiple zeros.
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Research Article| August 31 2018
Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers
Special Collection: In Memory of Ludwig Faddeev
Dmitry Korotkin, Peter Zograf; Tau functions, Hodge classes, and discriminant loci on moduli spaces of Hitchin’s spectral covers. J. Math. Phys. 1 September 2018; 59 (9): 091412. https://doi.org/10.1063/1.5038650
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