10 citations · 30 across the 15 of their papers we have counts for
16 papers
Isothermic surfaces and conservation laws
F. E. Burstall, E. Carberry, U. Hertrich-Jeromin +1
For CMC surfaces in -dimensional space forms, we relate the moment class of Korevaar--Kusner--Solomon to a second cohomology class arising from the integrable systems theory of…
Universal Deformations of a Curve and a Differential
Emma Carberry, Martin Ulrich Schmidt
We construct universal local deformations (Kuranishi families) for pairs consisting of a compact complex curve and a meromorphic 1-form. Each pair is assumed to be locally planar,…
Blowing up sequences of constant mean curvature tori in to minimal surfaces
Emma Carberry, Sebastian Klein, Martin Ulrich Schmidt
This paper is motivated by the question of whether a sequence of solutions of a given integrable system can be blown up to obtain a solution of a different integrable system in the…
The space of genus two spectral curves of constant mean curvature tori in
Emma Carberry, Martin Kilian, Sebastian Klein +1
We use Whitham deformations to give a complete account of spectral data of real solutions of the sinh--Gordon equation of spectral genus 2. We parameterise the closure of spectral…
The space of equivariant harmonic tori in the 3-sphere
Emma Carberry, Ross Ogilvie
In this paper we give an explicit parametrisation of the moduli space of equivariant harmonic maps from a 2-torus to the 3-sphere. As Hitchin proved, a harmonic map of a 2-torus is…
Whitham Deformations and the Space of Harmonic Tori in
Emma Carberry, Ross Ogilvie
In this paper we investigate the space of harmonic maps from a 2-torus to using the spectral curve correspondence and Whitham deformations. In an open and dense subs…