10 citations · 10 across the 1 of their papers we have counts for
7 papers
Brackets, forms and invariant functionals
Nigel Hitchin
In the context of generalized geometry we first show how the Courant bracket helps to define connections with skew torsion and then investigate a five-dimensional invariant functio…
Stable forms and special metrics
Nigel Hitchin
We show how certain diffeomorphism-invariant functionals on differential forms in dimensions 6,7 and 8 generate in a natural way special geometrical structures in these dimensions:…
The geometry of three-forms in six and seven dimensions
Nigel Hitchin
We study the special algebraic properties of alternating 3-forms in 6 and 7 dimensions and introduce a diffeomorphism-invariant functional on the space of differential 3-forms on a…
The Wess-Zumino term for a harmonic map
Nigel Hitchin
We calculate the Wess-Zumino term for a harmonic map of a closed surface to a compact, simply connected, simple Lie group in terms of the energy and the holonomy of…
Curvature and characteristic numbers of hyperkähler manifolds
Nigel Hitchin, Justin Sawon
We express characteristic numbers of compact hyperkähler manifolds in graph-theoretical form, considering them as a special case of the curvature invariants introduced by Rozansky…
Lectures on Special Lagrangian Submanifolds
Nigel Hitchin
These notes consist of a study of special Lagrangian submanifolds of Calabi-Yau manifolds and their moduli spaces. The particular case of three dimensions, important in string theo…