New examples of tunnel number subadditivity

Abstract

If the tunnel number of a link $K$ is denoted $t(K)$, a pair of knots $K_1,K_2$ is said to be subadditive if $t(K_1)+t(K_2)>t(K_1 # K_2)$. We construct new examples of subadditive links.

arXiv comment10 pages, 3 figures. Improvement on original draft--better results achieved in shorter time

References in corpus (2)

• Heegaard splittings of knot exteriors
• On the degeneration ratio of tunnel numbers and free tangle decompositions of knots

Cited by in corpus (1)

• On Heegaard splittings of glued 3-manifolds