Ozsváth-Szabó 不变量与接触结构的可填充性
几何拓扑
2007-05-23 v2 辛几何
摘要
在本文中，我们提供了一族弱辛可填充的接触结构，其在 Z/2Z 上的 Ozsváth-Szabó 接触不变量平凡。作为这一事实的推论，我们展示了 Heegaard-Floer 理论如何区分弱可填充与强可填充的接触结构。
引用
@article{arxiv.math/0403367,
title = {Ozsvath-Szabo invariants and fillability of contact structures},
author = {Paolo Ghiggini},
journal= {arXiv preprint arXiv:math/0403367},
year = {2007}
}
备注
An introductory section on Heegaard-Floer theory has been added, the vanishing result has been improved to cover an infinite family of weakly simplectically fillable contact structures