On homology 3-spheres defined by two knots

2014/01/29 by Masatsuna Tsuchiya, Tsuchiya, Masatsuna · 1 citation
Computer Science · Mathematics · #57M25 #57R65 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:57M25 #msc:57R65

paper · pdf · doi:10.48550/arxiv.1401.7445

21 pages, 102 figures

openalex publication_date 2014/01/29 · arxiv created 2014/10/28 · arxiv updated 2014/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that if each of K₁ and K₂ is a trefoil knot or figure eight knot, the homology 3-sphere defined by the Kirby diagram which is a simple link of K₁ and K₂ with framing (0, n) is represented by an n-twisted Whitehead double of K₂ .

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• On homotopy K3 surfaces constructed by two knots and their applications

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