带边接触瞬子及其Fredholm理论与一般横截性
辛几何
2023-09-04 v3
摘要
在本文中，我们首先建立定义在带穿孔黎曼曲面上的带边接触瞬子的Fredholm理论，该曲面在边界穿孔附近具有规定的渐近条件。随后我们证明在Legendrian边界条件扰动下的一般映射横截性。我们还建立了在CR殆复结构扰动与Legendrian边界条件扰动下其模空间的一般（0-阶）赋值横截性结果。这些是构造带边接触瞬子模空间及其应用的基本要素。
引用
@article{arxiv.2209.03548,
title = {Bordered contact instantons and their Fredholm theory and generic transversalities},
author = {Yong-Geun Oh},
journal= {arXiv preprint arXiv:2209.03548},
year = {2023}
}
备注
v2) 41 pages;. application to Shelukhin's conjecture separated away to a separate paper with corrected proof, discussion on the mapping transversality in arXiv:2111.02957 moved to here, title and abstract changed, submitted for the proceedings for Bumsig Kim's Memorial conference. arXiv admin note: text overlap with arXiv:2205.00370 v3) 46 pages, typos corrected, final accepted version