Volume 12 (2007)

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ISSN (electronic): 1464-8997
ISSN (print): 1464-8989

Workshop on Heegaard Splittings (Technion, Summer 2005)

Editors: Cameron Gordon and Yoav Moriah

Preface
List of participants
 

Geometry & Topology Monographs 12 (2007)

DOI: 10.2140/gtm.2007.12

Degeneration of Heegaard genus, a survey
1

David Bachman and Ryan Derby-Talbot

The Heegaard genus of bundles over S¹
17

Mark Brittenham and Yo'av Rieck

Incompressible surfaces and (1,2)–knots
35

Mario Eudave-Muñoz

Thin position for knots and 3–manifolds: a unified approach
89

Hugh Howards, Yo'av Rieck and Jennifer Schultens

Kleinian orbifolds uniformized by RP groups with an elliptic and a hyperbolic generator
121

Elena Klimenko and Natalia Kopteva

On the Heegaard splittings of amalgamated 3–manifolds
157

Tao Li

Heegaard splittings of knot exteriors
191

Yoav Moriah

The Heegaard structure of Dehn filled manifolds
233

Yoav Moriah and Eric Sedgwick

On the degeneration ratio of tunnel numbers and free tangle decompositions of knots
265

Kanji Morimoto

A proof of Waldhausen's uniqueness of splittings of S³ (after Rubinstein and Scharlemann)
277

Yo'av Rieck

Problems around 3–manifolds
285

J Hyam Rubinstein

Waldhausen's Theorem
299

Saul Schleimer

Destabilizing amalgamated Heegaard splittings
319

Jennifer Schultens and Richard Weidmann

Hyperbolic volume, Heegaard genus and ranks of groups
335

Peter B Shalen

Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3–manifolds
351

Juan Souto

Problems
401

Cameron McA Gordon