265 citations · 1.2k across the 35 of their papers we have counts for
42 papers
A universal Higgs bundle moduli space
Nigel Hitchin
We give a differential geometric construction of the holomorphic family of Higgs bundle moduli spaces over a curve C as a fibration over Teichmüller space. The method uses a functi…
A Note on Coupled Dirac Operators
Nigel Hitchin
The article considers some concrete solutions to the Dirac equation coupled to a vector bundle with connection, arising in the study of Yang-Mills equations and vector bundles on R…
Multiplicity algebras for rank 2 bundles on curves of small genus
Nigel Hitchin
Hausel introduced a commutative algebra -- the multiplicity algebra -- associated to a fixed point of the C^*-action on the Higgs bundle moduli space. Here we describe this algebra…
A remark on calibrations and Lie groups
Nigel Hitchin
We use the notion of the principal three-dimensional subgroup of a simple Lie group to identify certain special subspaces of the Lie algebra and address the question of whether the…
Spinors, Twistors and Classical Geometry
Nigel J. Hitchin
The paper studies explicitly the Hitchin system restricted to the Higgs fields on a fixed very stable rank 2 bundle in genus 2 and 3. The associated families of quadrics relate to…
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
Tamas Hausel, Nigel Hitchin
We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very stable components of the globa…