Floer上同调与二次曲面束
辛几何
2011-10-14 v3
摘要
在代数几何中，超椭圆曲线与相关的二次超曲面束之间存在经典联系。我们研究了这种联系的辛几何方面，以期应用于低维拓扑。我们构造了曲线的Fukaya范畴与相关两个二次曲面完全交的Fukaya范畴的幂零和之间的导出等价。这本质上决定了由亏格二曲线纤维化的三维流形的瞬子Floer同调。
引用
@article{arxiv.1006.1099,
title = {Floer cohomology and pencils of quadrics},
author = {Ivan Smith},
journal= {arXiv preprint arXiv:1006.1099},
year = {2011}
}
备注
70 pages, 7 figures. Version 2: corrections and simplifications to the finite determinacy and blowing up arguments; general re-organisation and some auxiliary material removed to appear elsewhere. Version 3: choice of symplectic forms clarified, various typoes corrected