On the link Floer homology of $L$-space links

Nakul Dawra

On the link Floer homology of $L$-space links

Geometric Topology 2015-05-06 v1

Authors: Nakul Dawra

Abstract

We will prove that, for a $2$ or $3$ component $L$ -space link, $HFL^-$ is completely determined by the multi-variable Alexander polynomial of all the sub-links of $L$ , as well as the pairwise linking numbers of all the components of $L$ . We will also give some restrictions on the multi-variable Alexander polynomial of an $L$ -space link. Finally, we use the methods in this paper to prove a conjecture by Yajing Liu classifying all $2$ -bridge $L$ -space links.

Keywords

link Floer homology L-space links multi-variable Alexander polynomial linking numbers sub-links 2-bridge links link classification

Cite

@article{arxiv.1505.01100,
  title  = {On the link Floer homology of $L$-space links},
  author = {Nakul Dawra},
  journal= {arXiv preprint arXiv:1505.01100},
  year   = {2015}
}

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25 Pages , 6 figures

On the link Floer homology of $L$-space links

Abstract

Keywords

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