21 citations · 115 across the 37 of their papers we have counts for
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The asymptotic behavior of the monodromy representations of the associated families of compact CMC surfaces
Sebastian Heller
Constant mean curvature (CMC) surfaces in space forms can be described by their associated -family of flat -connections . In this paper we c…
The spectral curve theory for symmetric CMC surfaces
Lynn Heller, Sebastian Heller, Nicholas Schmitt
Constant mean curvature surfaces in can be studied via their associated family of flat connections. In the case of tori this approach has led to a deep understanding of the m…
Exploring the space of compact symmetric CMC surfaces
Lynn Heller, Sebastian Heller, Nicholas Schmitt
We map out the moduli space of Lawson symmetric constant mean curvature surfaces in the 3-sphere of genus by flowing numerically from Delaunay tori with even lobe count via t…
Navigating the Space of Symmetric CMC Surfaces
Lynn Heller, Sebastian Heller, Nicholas Schmitt
In this paper we introduce a flow on the spectral data for symmetric CMC surfaces in the -sphere. The flow is designed in such a way that it changes the topology but fixes the i…