The product formula for the Hitchin fibration, previously known only over the anisotropic locus, is proved over the generically regular semisimple locus using a vanishing theorem for torus torsors over R((t)).
A Series of Modern Surveys in Mathem atics [Results in Mathematics and Related Areas
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Torsors on loop groups and the Hitchin fibration
The product formula for the Hitchin fibration, previously known only over the anisotropic locus, is proved over the generically regular semisimple locus using a vanishing theorem for torus torsors over R((t)).