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20102026
most citedA compactness theorem for the Seiberg-Witten equation with multiple spinors in dimension three

29 citations · 264 across the 24 of their papers we have counts for

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Showing 2018Show all

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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.SG2018★ 9 cited

Castelnuovo's bound and rigidity in almost complex geometry

Aleksander Doan, Thomas Walpuski

This article is concerned with the question of whether an energy bound implies a genus bound for pseudo-holomorphic curves in almost complex manifolds. After reviewing what is know…