most citedEquivariant Brill-Noether theory for elliptic operators and super-rigidity of -holomorphic maps

2 citations · 2 across the 1 of their papers we have counts for

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3 papers

math.DG2020★ 2 cited

Equivariant Brill-Noether theory for elliptic operators and super-rigidity of -holomorphic maps

Aleksander Doan, Thomas Walpuski

The space of Fredholm operators of fixed index is stratified by submanifolds according to the dimension of the kernel. Geometric considerations often lead to questions about the in…

math.DG2018

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

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…