Siqi He

activity

20242026

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3 papers · 1 filter

math.DG2024

Z/2 harmonic 1-forms, R-trees, and the Morgan-Shalen compactification

Siqi He, Richard Wentworth, Boyu Zhang

This paper studies the relationship between an analytic compactification of the moduli space of flat $SL_{2} (C)$ connections on a closed, oriented 3-manifold $M$ de…

math.DG2024

$Z_{2}$ -Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds

Siqi He, Gregory J. Parker

Given a pair of $Z_{2}$ -harmonic spinors (resp. 1-forms) on closed Riemannian 3-manifolds $(Y_{1}, g_{1})$ and $(Y_{2}, g_{2})$ , we construct $Z_{2}$ -harmonic spinors (resp. 1…

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…

Z/2 harmonic 1-forms, R-trees, and the Morgan-Shalen compactification

Z2​-Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds

On the existence and rigidity of critical Z2 eigenvalues

$Z_{2}$ -Harmonic Spinors and 1-forms on Connected sums and Torus sums of 3-manifolds