Connected sums of knots and weakly reducible Heegaard splittings

Author:

Moriah Yoav

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference17 articles.

1. Reducing Heegaard splittings;Casson;Topology Appl.,1987

2. On primitive sets of loops in the boundary of a handlebody;Gordon;Topology Appl.,1987

3. K. Hartshorn, Heegaard splittings of Haken manifolds have bounded distance, Preprint

4. 3-manifolds as viewed from the curve complex;Hempel;Topology,2001

5. Closed incompressible surfaces in complements of wide knots and links;Lustig;Topology Appl.,1999

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1. Small difference between tunnel numbers of cable knots and their companions;Topology and its Applications;2024-11

2. On Heegaard splittings of knot exteriors with tunnel number degenerations;Topology and its Applications;2015-12

3. On the degeneration of tunnel numbers under a connected sum;Transactions of the American Mathematical Society;2015-06-15

4. ON CRITICAL HEEGAARD SPLITTINGS OF TUNNEL NUMBER TWO COMPOSITE KNOT EXTERIORS;Journal of Knot Theory and Its Ramifications;2013-10

5. Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down;Acta Mathematica Sinica, English Series;2011-10-15

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