5 citations · 7 across the 7 of their papers we have counts for
7 papers
Embedded special Legendrian surfaces in
Sebastian Heller, Franz Pedit, Charles Ouyang
We construct the first smooth embedded compact special Legendrian surfaces in \(\mathbb S^5\) of genus greater than one. More precisely, for every sufficiently large integer \(k\),…
Higgs bundles and SYZ geometry
Sebastian Heller, Charles Ouyang, Franz Pedit
Using non-Abelian Hodge theory for parabolic Higgs bundles, we construct infinitely many non-congruent hyperbolic affine spheres modeled on a thrice-punctured sphere with monodromy…
A closed ball compactification of a maximal component via cores of trees
Giuseppe Martone, Charles Ouyang, Andrea Tamburelli
We show that, in the character variety of surface group representations into the Lie group , the compactification of t…
Boundary of the Gothen components
Charles Ouyang, Andrea Tamburelli
In this short note we describe an interesting new phenomenon about the -character variety. Precisely, we show that the Hitchin component and all Gothen c…
Length spectrum compactification of the -Hitchin component
Charles Ouyang, Andrea Tamburelli
We find a compactification of the -Hitchin component by studying the degeneration of the induced metric on the unique equivariant maximal surface in the 4-dim…
Limits of Blaschke metrics
Charles Ouyang, Andrea Tamburelli
We find a compactification of the -Hitchin component by studying the degeneration of the Blaschke metrics on the associated equivariant affine spheres. I…