New examples of tunnel number subadditivity

2011/11/03 by Trenton Schirmer, Schirmer, Trenton · 1 citation
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT

paper · pdf · doi:10.48550/arxiv.1111.0980

10 pages, 3 figures. Improvement on original draft--better results achieved in shorter time

openalex publication_date 2011/11/03 · arxiv created 2012/05/02 · arxiv updated 2012/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

If the tunnel number of a link K is denoted t(K), a pair of knots K₁,K₂ is said to be subadditive if t(K₁)+t(K₂)>t(K₁ # K₂). We construct new examples of subadditive links.

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