A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS
Abstract
A handlebody-knot is a handlebody embedded in the 3-sphere. We enumerate all genus two handlebody-knots up to six crossings.
References
- Trans. Amer. Math. Soc. 355, 3947 (2003), DOI: 10.1090/S0002-9947-03-03046-0. Crossref, ISI, Google Scholar
- Algebr. Geom. Topol. 8, 1403 (2008), DOI: 10.2140/agt.2008.8.1403. Crossref, ISI, Google Scholar
- Canad. J. Math. 35, 131 (2011). ISI, Google Scholar
- Tsukuba J. Math. 35, 131 (2011). Crossref, Google Scholar
- A. Ishii, K. Kishimoto and M. Ozawa, Knotted handle decomposing spheres for handlebody-knots, preprint . Google Scholar
- Y. Jang and K. Oshiro, Symmetric quandle colorings for spatial graphs and handlebody-links, to appear in J. Knot Theory Ramifications . Google Scholar
- J. Pure Appl. Algebra 23, 37 (1982), DOI: 10.1016/0022-4049(82)90077-9. Crossref, ISI, Google Scholar
- T. Kitano and M. Suzuki, On the number of SL(2;ℤ/pℤ)-representations of knot groups, to appear in J. Knot Theory Ramifications . Google Scholar
- J. H. Lee and S. Lee, Inequivalent handlebody-knots with homeomorphic complements, preprint . Google Scholar
- Mat. Sb. 119(161), 78 (1982). Google Scholar
H. Moriuchi , Knot Theory for Scientific Objects,OCAMI Studies 1 (Osaka Municipal Universities Press, 2007) pp. 179–200. Google Scholar- J. Knot Theory Ramifications 18, 167 (2009). Link, ISI, Google Scholar
- H. Moriuchi, An enumeration of non-prime theta-curves and handcuff graphs, preprint . Google Scholar
- Osaka J. Math. 7, 375 (1970). ISI, Google Scholar
- Yokohama Math. J. 18, 93 (1970). Google Scholar
| Remember to check out the Most Cited Articles in JKTR ! |
Featuring author John Baez and more!


