Dashen Yan

activity

20242026

collaborators

4 papers

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.DG2026

On nondegenerate $Z_{2}$ -harmonic $1$ -forms with shrinking branching sets

Dashen Yan

We develop a gluing theorem for non-degenerate $Z_{2}$ -harmonic $1$ -forms on compact manifolds, in which non-degenerate $Z_{2}$ -harmonic $1$ -forms on $\mathbb{R}^…

math.DG2025

A Construction of non-degenerate $Z_{2}$ -harmonic functions on $R^{n}$

Dashen Yan

We discover an explicit construction of non-degenerate $Z_{2}$ -harmonic functions on $R^{n}, n \geq 3$ , using a variant of ellipsoidal coordinates on $\mathbb{R}^{n…

math.DG2024

A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds

Dashen Yan

We carry out a gluing construction for collapsing warped-QAC (quasi-asymptotically-conical) Calabi-Yau manifolds in $\CC^{n+2}, n\geq 2$. This gluing theorem verifies a conjecture…

Calabi surgery for Z/2 harmonic 1-forms

On nondegenerate Z2​-harmonic 1-forms with shrinking branching sets

A Construction of non-degenerate Z2​-harmonic functions on Rn

A Gluing Theorem For Collapsing Warped-QAC Calabi-Yau Manifolds

On nondegenerate $Z_{2}$ -harmonic $1$ -forms with shrinking branching sets

A Construction of non-degenerate $Z_{2}$ -harmonic functions on $R^{n}$