7 citations · 8 across the 4 of their papers we have counts for
7 papers
A Zero Lyapunov Exponent in Genus Implies the Eierlegende Wollmilchsau
David Aulicino, Frederik Benirschke, Chaya Norton
We prove that the closed orbit of the Eierlegende Wollmilchsau is the only -orbit closure in genus three with a zero Lyapunov exponent in its Kontsevich-Zo…
Higgs fields, non-abelian Cauchy kernels and the Goldman symplectic structure
Marco Bertola, Chaya Norton, Giulio Ruzza
We consider the moduli space of vector bundles of rank and degree over a fixed Riemann surface of genus . We use the explicit parametrization in terms of the Tyur…
Strongly Obtuse Rational Lattice Triangles
Anne Larsen, Chaya Norton, Bradley Zykoski
We classify rational triangles which unfold to Veech surfaces when the largest angle is at least . When the largest angle is greater than , we show that…
Shimura-Teichmüller Curves in Genus 5
David Aulicino, Chaya Norton
We prove that there are no Shimura-Teichmüller curves generated by genus five translation surfaces, thereby completing the classification of Shimura-Teichmüller curves in general.…
General Variational Formulas for Abelian Differentials
Xuntao Hu, Chaya Norton
We use the jump problem technique developed in a recent paper by Grushevsky, Krichever and the second author to compute the variational formula of any stable differential and its p…
Real-normalized differentials: limits on stable curves
Samuel Grushevsky, Igor Krichever, Chaya Norton
We study the behavior of real-normalized (RN) meromorphic differentials on Riemann surfaces under degeneration. We determine all possible limits of RN differentials in degenerating…
Symplectic geometry of the moduli space of projective structures in homological coordinates
Marco Bertola, Dmitry Korotkin, Chaya Norton
We introduce a natural symplectic structure on the moduli space of quadratic differentials with simple zeros and describe its Darboux coordinate systems in terms of so-called homol…