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Inequivalent handlebody-knots with homeomorphic complements
- Authors
- Lee, Jung Hoon; Lee, Sangyop
- Issue Date
- 2012
- Publisher
- GEOMETRY & TOPOLOGY PUBLICATIONS
- Citation
- ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.12, no.2, pp 1059 - 1079
- Pages
- 21
- Journal Title
- ALGEBRAIC AND GEOMETRIC TOPOLOGY
- Volume
- 12
- Number
- 2
- Start Page
- 1059
- End Page
- 1079
- ISSN
- 1472-2739
1472-2739
- Abstract
- We distinguish the handlebody-knots 5(1), 6(4) and 5(2),6(13) in the table, due to Ishii et al, of irreducible handlebody-knots up to six crossings. Furthermore, we construct two infinite families of handlebody-knots, each containing one of the pairs 5(1), 6(4) and 5(2), 6(13), and show that any two handlebody-knots in each family have homeomorphic complements but they are not equivalent.
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Collections - College of Natural Sciences > Department of Mathematics > 1. Journal Articles
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