Mathematics – Geometric Topology
Scientific paper
2010-05-09
Mathematics
Geometric Topology
48 pages, 25 figures
Scientific paper
We develop a construction suggested by Scharlemann and Thompson to obtain an infinite family of pairs of knots $K_{\alpha}$ and $K'_{\alpha}$ so that $w(K_{\alpha} # K'_{\alpha})=max{w(K_{\alpha}), w(K'_{\alpha})}$. This is the first known example of a pair of knots such that $w(K#K')
Blair Ryan
Tomova Maggy
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