참고문헌
- S.-B, Cho and D. MacCullough, The tree of knot tunnels, Geom. Topol. 13 (2009), no. 2, 769815. https://doi.org/10.2140/gt.2009.13.769
- M. J. Dunwoody, Cyclic presentations and 3-manifolds, Proceeding of Groups Korea 94' edited by A.C.Kim and D.L.Johnson, 47-55(1994).
- K. Ishihara, An algorithm for finding parameters of tunnels, Algebr. Geom. Topol. 11 (2011), no. 4, 21672190. https://doi.org/10.2140/agt.2011.11.2167
- H. Goda, H. Mastuda and T. Morifuji, Knot Floer homology of (1,1)-knots, Geometriae Dedicata 2005;112(1):197-214. https://doi.org/10.1007/s10711-004-5403-2
- L. Grasselli and M. Mulazzani, Genus one 1-bridge knots and Dunwoody manifolds, Forum Math. 13 (2001), no. 3, 379397. https://doi.org/10.1515/form.2001.013
- D. Heath and H.-J. Song, Unknotting tunnels of p(-2, 3, 7) . J. Knot Theory Ramifications 14 (2005), no. 8, 10771085. https://doi.org/10.1142/S0218216505004238
- C. Hayashi, 1-genus 1-bridge splittings for knots, Osaka J. Math., Vol.41, (2004), 371-426.
- S.-H. Kim and Y.-K. Kim, The Dual and Mirror images of the Dunwoody 3-Manifolds, Hidawi Pub. Corp. International Journal of Mathematics and Mathematical Sciences Volume 2013, Article ID 103209, 7 pages.
- S,Y. Lee and H.-J. Song, (1,1)-diagrams and Alexander polynomials of torus knots, in preparation.
- J. Rasmussen, Knot Polynomials and Knot Homologies, Geometry and topology of manifolds, 261280, Fields Inst. Commun., 47, Amer. Math. Soc., Providence, RI, 2005.
- H.-J. Song, Dunwoody (1,1)-knots, unpublised manuscripts 2000.
- H.-J. Song, Morimoto Sakuma Yokota's geometric approach to tunnel number one knots, Topology Appl. 127 (2003), no. 3, 375392. https://doi.org/10.1016/S0166-8641(02)00100-1