Jiahuang Chen

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math.DG2026

Calabi surgery for Z/2 harmonic 1-forms

Jiahuang Chen, Siqi He, Dashen Yan

We prove a 2-valued analogue of Calabi's intrinsic harmonicity theorem and use it to introduce the Calabi surgery method, a surgery theory for $Z /2$ harmonic $1$ -forms. On…

math.DG2025

On the non-Archimedean Hitchin map for $SL_{2} (F)$

Jiahuang Chen, Siqi He

Let $F$ be a non-Archimedean valued field, $I^£$ a closed Riemann surface of genus at least two, and $I^$ its fundamental group. Building on the theory of equivariant harmonic maps…

math.DG2024

On the existence and rigidity of critical Z2 eigenvalues

Jiahuang Chen, Siqi He

In this article, we study the eigenvalues and eigenfunction problems for the Laplace operator on multivalued functions, defined on the complement of the 2n points on the round sphe…

Calabi surgery for Z/2 harmonic 1-forms

On the non-Archimedean Hitchin map for SL2​(F)

On the existence and rigidity of critical Z2 eigenvalues

On the non-Archimedean Hitchin map for $SL_{2} (F)$