某些纽结手术上的SL(2,C) Floer上同调
几何拓扑
2021-12-14 v3
摘要
我们建立了由Abouzaid与Manolescu定义的层论SL(2,C) Floer上同调HP(Y)(其中Y为S^3中一个小纽结的手术)与由Curtis定义的SL(2,C) Casson不变量之间的关系。我们确定了涉及带框层论SL(2,C) Floer上同调HP_#(Y)的类似公式。利用这些关系,我们计算了多数两桥纽结手术上的HP与HP_#。我们还计算了奶奶纽结与方结这两个非小纽结手术上的HP。
引用
@article{arxiv.2002.04103,
title = {SL(2,C) Floer cohomology for surgeries on some knots},
author = {Ikshu Neithalath},
journal= {arXiv preprint arXiv:2002.04103},
year = {2021}
}
备注
Revised based on referee comments on the second version. Changed the statement of Theorem 1 to be more specific. Replaced the calculations of HP for surgeries on the trefoil and figure-eight knots with a more general formula for HP and HP_# for surgery on any two-bridge knot. Accepted by Michigan Math Journal