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

2018/01/17 by Bagherifard, Narges, Eftekhary, Eaman
#57M27 #57R58 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1801.05722

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 rank(\widehatHF(X)) ≥ rank(\widehatHF(Y)).

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