Langlands duality and G2 spectral curves

Authors: Nigel Hitchin

arXiv: math/0611524v1 - DOI (math.AG)
33 pages
License: ASSUMED 1991-2003

Abstract: 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.

Submitted to arXiv on 17 Nov. 2006

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