Higher solutions of Hitchin’s self-duality equations
Higher solutions of Hitchin’s self-duality equations
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希钦自对偶方程的更高解
DOI：
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Sebastian Heller
中科院分区：
文献类型：
--
作者：
Lynn Heller;Sebastian Heller
Solutions of Hitchin’s self-duality equations correspond to special real sections of the Deligne–Hitchin moduli space—twistor lines. A question posed by Simpson in 1997 asks whether all real sections give rise to global solutions of the self-duality equations. An affirmative answer would in principle allow for complex analytic procedures to obtain all solutions of the self-duality equations. The purpose of this article is to construct counter examples given by certain (branched) Willmore surfaces in three-space (with monodromy) via the generalized Whitham flow. Though these sections do not give rise to global solutions of the self-duality equations on the whole Riemann surface M, they induce solutions on an open and dense subset of it. This suggest a connection between Willmore surfaces, i.e., rank 4 harmonic maps theory, with the rank 2 self-duality theory.
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通过有限群行动的膜
影响因子：
1.5
作者：
Heller, Sebastian;Schaposnik, Laura P.
通讯作者：
Schaposnik, Laura P.
劳森属有两个表面和亚形连接
影响因子：
0.8
作者：
Heller
通讯作者：
Heller
4 穿刺球上 Fuchsian 系统的阿贝尔化及其应用
DOI：
10.4310/jsg.2016.v14.n4.a4
发表时间：
2016
期刊：
arXiv: Algebraic Geometry
影响因子：
--
作者：
L. Heller;S. Heller
通讯作者：
S. Heller
在对称 CMC 曲面空间中导航
影响因子：
2.5
作者：
L. Heller;S. Heller;N. Schmitt
通讯作者：
N. Schmitt