On the link Floer homology of L-space links

2015/05/05 by Nakul Dawra, Dawra, Nakul
Computer Science · Mathematics · #57M25 #57R58 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1505.01100

openalex publication_date 2015/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• L-space satellite operators and knot Floer homology
• Lattice homology, formality, and plumbed L-space links
• Heegaard Floer homology of (n,n)-torus links: computations and questions
• Cable links and L-space surgeries
• Surgery on links of linking number zero and the Heegaard Floer\n d-invariant