Langlands duality and G2 spectral curves

Details Langlands duality and G2 spectral curves Langlands duality and G2 spectral curves

2006-11-17

arxiv.org/abs/math/0611524v1

Mathematics

Algebraic Geometry

33 pages

Scientific paper

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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