Volume 10 (2006)

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Alternate Heegaard genus bounds distance

Martin Scharlemann and Maggy Tomova

Geometry & Topology 10 (2006) 593–617

DOI: 10.2140/gt.2006.10.593

Forward citations
T Kobayashi, Y Rieck, Knot exteriors with additive Heegaard genus and Morimoto's Conjecture, Algebraic & Geometric Topology 8 (2008) 953
F LEI, G YANG, A lower bound of genus of amalgamations of Heegaard splittings, Mathematical Proceedings of the Cambridge Philosophical Society 146 (2009) 615
J Lee, ON (DISK, ANNULUS) PAIRS OF HEEGAARD SPLITTINGS THAT INTERSECT IN ONE POINT, Bulletin of the Korean Mathematical Society 46 (2009) 99
T Li, Saddle tangencies and the distance of Heegaard splittings, Algebraic & Geometric Topology 7 (2007) 1119
Y N Minsky, Y Moriah, S Schleimer, High distance knots, Algebraic & Geometric Topology 7 (2007) 1471
H Namazi, J Souto, Heegaard Splittings and Pseudo-Anosov Maps, Geometric and Functional Analysis 19 (2009) 1195
R Qiu, T Kobayashi, The amalgamation of high distance Heegaard splittings is always efficient, Mathematische Annalen 341 (2008) 707
M Tomova, Multiple bridge surfaces restrict knot distance, Algebraic & Geometric Topology 7 (2007) 957
M Tomova, Distance of Heegaard splittings of knot complements, Pacific Journal of Mathematics 236 (2008) 119
G Yang, F Lei, Amalgamations of Heegaard splittings in 3–manifolds without some essential surfaces, Algebraic & Geometric Topology 9 (2009) 2041