4 papers
On the symplectic forms of Groechenig's Higgs moduli over an elliptic curve
Zelin Jia
Gorsky, Nekrasov, and Rubtsov introduced the moduli space of marked Higgs bundles over an elliptic curve and identified it with the Hilbert scheme of points on the cotangent bu…
The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
Zhichao Chen, Zelin Jia, Wenchao Wu
The purpose of this paper is twofold. First, we introduce a family of generalized Markov-Hurwitz equations, extending classical Markov-Hurwitz equations with additional degree n-1…
Tropicalization and cluster asymptotic phenomenon of generalized Markov equations
Zhichao Chen, Zelin Jia
The generalized Markov equations are deeply connected with the generalized cluster algebras of Markov type. We construct a deformed Fock-Goncharov tropicalization for the generaliz…
Symplectic geometry of Higgs moduli and the Hilbert scheme of points over an elliptic curve
Zelin Jia
We show that the isomorphism between the moduli space of certain parabolic Higgs bundles over an elliptic curve and the Hilbert scheme of n points of the cotangent bundle of the el…