On the degeneration of tunnel numbers under a connected sum

DOI10.1090/tran/6473zbMath1337.57028arXiv1310.5054OpenAlexW1754984884MaRDI QIDQ2787990

Tao Li, Ruifeng Qiu

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.5054

zbMATH Keywords

knotstunnel numbersmeridionally primitive knots

Mathematics Subject Classification ID

Related Items (3)

Heegaard genus, degree‐one maps, and amalgamation of 3‐manifolds ⋮ On tunnel numbers of a cable knot and its companion ⋮ Some results on Heegaard splitting

Cites Work

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• A CONSTRUCTION OF ARBITRARILY HIGH DEGENERATION OF TUNNEL NUMBERS OF KNOTS UNDER CONNECTED SUM
• Every Two-Generator Knot is Prime
• There are Knots whose Tunnel Numbers go down under Connected Sum
• Rank and genus of 3-manifolds
• 3-manifolds as viewed from the curve complex

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