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关于 Seiberg-Witten 泛函临界点的存在性

微分几何 2007-05-23 v2 数学物理几何拓扑 math.MP

作者: Celso M. Doria

在 arXiv 上查看 ↗ PDF ↗

摘要

考虑到 Seiberg-Witten 泛函满足 Palais-Smale 条件，在规范等价意义下，可在模空间上应用极小极大原理来证明临界点的存在性，这些临界点对应二阶 SW 方程在规范等价意义下的解。

关键词

Seiberg-Witten 泛函 Palais-Smale 条件极小极大原理模空间临界点规范等价

引用

@article{arxiv.math/0009245,
  title  = {On the Existence of Critical Points to the Seiberg-Witten Functional},
  author = {Celso M. Doria},
  journal= {arXiv preprint arXiv:math/0009245},
  year   = {2007}
}

备注

15 pages; the title was changed and some parts of the text have been improved in order to stress technical points originally treated in a sloppy way