13 citations · 38 across the 6 of their papers we have counts for
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math.AG2009
Vector bundles and the icosahedron
Nigel Hitchin
A plane curve C defined by a homogeneous polynomial satisfying Laplace's equation appears canonically as the vanishing of the Pfaffian of a skew-symmetric matrix of linear forms. A…
math.AG2007
Spherical harmonics and the icosahedron
Nigel Hitchin
We define a sextic invariant J on the seven-dimensional space of degree three spherical harmonics and show that J is positive if and only if the nodal set of the spherical harmonic…
math.AG2006★ 12 cited
Langlands duality and G2 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 impl…