中文

来自纽结 Floer 同调的更多共轭同态

几何拓扑 2022-01-14 v2

摘要

我们定义了一族无穷多、线性无关、取整数值的光滑共轭同态。我们的同态可显式计算,并依赖于环 F[U,V]/(UV=0)\mathbb{F}[U, V]/(UV=0) 上纽结 Floer 复形的局部等价类。我们将我们的不变量与来自纽结 Floer 同调的其他共轭同态进行比较,并讨论其在拓扑切片纽结、共轭亏格和共轭解结数方面的应用。

关键词

引用

@article{arxiv.1902.03333,
  title  = {More concordance homomorphisms from knot Floer homology},
  author = {Irving Dai and Jennifer Hom and Matthew Stoffregen and Linh Truong},
  journal= {arXiv preprint arXiv:1902.03333},
  year   = {2022}
}

备注

50 pages, 6 figures v2: Included a 2 page erratum pointing out an error in a lemma, along with a reference to a revised and correct version of the lemma. The main results of the paper are unaffected