Siqi He

activity

20152023

most citedA Gluing Theorem for the Kapustin-Witten Equations with a Nahm Pole

6 citations · 27 across the 13 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DG2018★ 5 cited

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…

math.DG2018★ 1 cited

The Expansions of the Nahm Pole Solutions to the Kapustin-Witten Equations

Siqi He

For a 3-manifold $X$ and compact simple Lie group $G$ , we study the expansions of polyhomogeneous Nahm pole solutions to the Kapustin-Witten equations over $X \times (0, + \infty)$ . L…

math.DG2018★ 2 cited

The extended Bogomolny equations with generalized Nahm pole boundary conditions, II

Siqi He, Rafe Mazzeo

We develop a Kobayashi-Hitchin correspondence for the extended Bogomolny equations, i.e., the dimensionally reduced Kapustin-Witten equations, on the product of a compact Riemann s…