Geometry and Topology Down Under (Google eBook)

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Craig D. Hodgson, William H. Jaco, Martin G. Scharlemann, Stephan Tillmann
American Mathematical Soc., Aug 23, 2013 - Mathematics - 369 pages
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This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Parkville, Australia, in honour of Hyam Rubinstein.

The main topic of the book is low-dimensional geometry and topology. It includes both survey articles based on courses presented at the conferences and research articles devoted to important questions in low-dimensional geometry. Together, these contributions show how methods from different fields of mathematics contribute to the study of 3-manifolds and Gromov hyperbolic groups. It also contains a list of favorite problems by Hyam Rubinstein.

  

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Contents

What is an Almost Normal Surface?
1
The Ergodic Theory of Hyperbolic Groups
15
Mapping Class Groups of 3Manifolds Then and Now
53
Stacks of Hyperbolic Spaces and Ends of 3Manifolds
65
Harmonic Maps and Integrable Systems
139
Some of Hyams Favourite Problems
165
Almost Normal Surfaces with Boundary
177
Algorithms Heuristics and Implementations
195
Seiferters and Branched Coverings
235
Commensurability of Knots and ²Invariants
263
The Groups of Fibred 2Knots
281
On the Number of Hyperbolic 3Manifolds of a Given Volume
295
Seifert Fibered Surgery and Rasmussen Invariant
321
Existence of Spherical Angle Structures on 3Manifolds
337
3Manifolds with Heegaard Splittings of Distance Two
341
Generating the Genus +1 Goeritz Group of a Genus Handlebody
347

LeftOrderability and Exceptional Dehn Surgery on TwoBridge Knots
225

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