沿星形 plumbing 的手术与 4-流形上的奇异光滑结构
几何拓扑
2016-07-20 v3 辛几何
摘要
我们定义了一种新的 4 维辛切割与粘贴操作，该类比于 Fintushel 和 Stern 的有理爆破（rational blow-down）。我们利用此操作构建了多次爆破八次、七次和六次的辛光滑奇异复射影空间的多种构造。我们还展示了如何将此操作与纽结手术（knot surgery）结合使用，以在爆破七次的复射影空间上构造一族极小奇异光滑结构。
引用
@article{arxiv.1402.0801,
title = {Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds},
author = {Cagri Karakurt and Laura Starkston},
journal= {arXiv preprint arXiv:1402.0801},
year = {2016}
}
备注
35 pages, 20 figures; v2 has significantly more examples of small exotic symplectic 4-manifolds including exotic CP2 blown up 6 and 7 times and the structure of the paper is reorganized; v3 corrects minor errors and some inconsistencies in conventions