LANGLANDS DUALITY AND G2 SPECTRAL CURVES
نویسندگان
چکیده
منابع مشابه
1 7 N ov 2 00 6 Langlands duality and G 2 spectral curves Nigel Hitchin
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 G2 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.
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2007
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/ham016