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LANGLANDS DUALITY AND G2 SPECTRAL CURVES
2007
Quarterly Journal of Mathematics
We first demonstrate how duality for the fibres of the so-called Hitchin fibration works for the Langlands dual groups Sp(2m) and SO(2m + 1). We then show that duality for G 2 is implemented by an involution on the base space which takes one fibre to its dual. A formula for the natural cubic form is given and shown to be invariant under the involution.
doi:10.1093/qmath/ham016
fatcat:lnpmyv3a4rfazgkvbglwgszuym