Destabilizing Heegaard splittings of knot exteriors

[1]  M. Scharlemann,et al.  A proof of the Gordon Conjecture , 2008, 0801.4581.

[2]  Marc Lackenby,et al.  An algorithm to determine the Heegaard genus of simple 3–manifolds with nonempty boundary , 2007, 0709.0376.

[3]  Tsuyoshi Kobayashi,et al.  Knot exteriors with additive Heegaard genus and Morimoto's Conjecture , 2007, math/0701765.

[4]  Tsuyoshi Kobayashi,et al.  Knots with g(E(K))=2 and g(E(K#K#K))=6 and Morimoto's Conjecture , 2007, math/0701766.

[5]  J. Schultens,et al.  Destabilizing amalgamated Heegaard splittings , 2005, math/0510386.

[6]  Shicheng Wang,et al.  Separating incompressible surfaces and stabilizations of Heegaard splittings , 2004, Mathematical Proceedings of the Cambridge Philosophical Society.

[7]  Ruifeng Qiu.  Stabilizations of Reducible Heegaard Splittings , 2004, math/0409497.

[8]  D. Bachman.  Connected sums of unstabilized Heegaard splittings are unstabilized , 2004, math/0404058.

[9]  Tsuyoshi Kobayashi,et al.  On the growth rate of the tunnel number of knots , 2004, math/0402025.

[10]  K. Morimoto.  TUNNEL NUMBER AND CONNECTED SUM OF KNOTS , 1997 .

[11]  S. Suzuki.  Lectures at Knots '96 , 1997 .

[12]  K. Morimoto.  Characterization of tunnel number two knots which have the property “2 + 1 = 2” , 1995 .

[13]  J. Schultens.  The Classification of Heegaard Splittings for (Compact Orient Able Surface) × S1 , 1993 .

[14]  C. McA. Gordon,et al.  Reducing heegaard splittings , 1987 .

[15]  Frank Quinn,et al.  Problems in low-dimensional topology , 1997 .