2 citations · 2 across the 5 of their papers we have counts for
8 papers
Existence of nondegenerate harmonic 1-forms via symmetry
Siqi He
Using symmetry, we present a topological condition for the existence of the harmonic 1-forms over Riemannian manifold. As a corollary, if is an or…
The branched deformations of the special Lagrangian submanifolds
Siqi He
The branched deformations of immersed compact special Lagrangian submanifolds are studied in this paper. If there exists a nondegenerate harmonic 1-form over a speci…
On the Moduli Space of the Octonionic Nahm's Equations
Siqi He
In this paper, we study some basic properties of the octonionic Nahm's equations over . We prove that the moduli space of the smooth solutions to the octonionic Nahm's equat…
Opers and the twisted Bogomolny equations
Siqi He, Rafe Mazzeo
In this paper, we study the dimensionally reduced twisted Kapustin-Witten equations on the product of a compact Riemann surface with . The main result is a Kobaya…
Classification of Nahm pole solutions of the Kapustin-Witten equations on
Siqi He, Rafe Mazzeo
In this note, we classify all solutions to the Kapustin-Witten equations on , where is a compact Riemann surface, with Nahm pole…
Hecke modifications of Higgs bundles and the extended Bogomolny equation
Siqi He, Thomas Walpuski
We establish a Kobayashi-Hitchin correspondence between solutions of the extended Bogomolny equation with a Dirac type singularity and Hecke modifications of Higgs bundles. This co…