Smyth-type势的敷料各向同性的平凡性和所得到的CMC曲面的非封闭性
Triviality of the dressing isotropy for a Smyth-type potential and nonclosing of the resulting CMC surfaces
摘要：
CP ^1的量子上同调是由某种势（弗罗贝纽斯流形）产生的，这种势也可以解释为某种调和映射的势。实际上，势将调和映射引入到三个不同的对称空间中，并且每个调和映射都引入可积曲面的浸入。本文的最终目标是研究是否有任何相关的浸入在z=0的奇点周围闭合（没有）。决定这个问题的关键工具是论文的主要技术结果，它指出CP^1势的各向同性是微不足道的。
英文摘要：
The quantum cohomology of CP^1 is generated by some potential (Frobenius manifold) that also has an interpretation as a potential of some harmonic map. Actually, the potential induces harmonic maps into three different symmetric spaces and each of these harmonic maps induces an immersion of an integrable surface. The final goal of this paper is to investigate if any of the associated immersions closes around the singularity at z=0 (none does). The crucial tool for deciding this question is the main technical result of the paper, which states that the dressing isotropy of the CP^1 potential is trivial.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
