Heegaard Floer homology, degree-one maps and splicing knot complements

Narges Bagherifard; Eaman Eftekhary

Heegaard Floer homology, degree-one maps and splicing knot complements

Geometric Topology 2018-01-18 v1

Authors: Narges Bagherifard , Eaman Eftekhary

Abstract

Let $K$ denote a knot inside the homology sphere $Y$ and $K'$ denote a knot inside a homology sphere $L$ -space. Let $X=Y(K,K')$ denote the 3-manifold obtained by splicing the complements of $K$ and $K'$ . We show that $\text{rank}(\widehat{HF}(X)) \ge \text{rank}(\widehat{HF}(Y))$ .

Keywords

heegaard floer homology degree-one maps knot complements splicing homology sphere l-space 3-manifold

Cite

@article{arxiv.1801.05722,
  title  = {Heegaard Floer homology, degree-one maps and splicing knot complements},
  author = {Narges Bagherifard and Eaman Eftekhary},
  journal= {arXiv preprint arXiv:1801.05722},
  year   = {2018}
}

Comments

10 pages

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