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Geometry and Topology Down Under
 
Edited by: Craig D. Hodgson University of Melbourne, Parkville, Victoria, Australia
William H. Jaco Oklahoma State University, Stillwater, OK
Martin G. Scharlemann University of California, Santa Barbara, Santa Barbara, CA
Stephan Tillmann University of Sydney, Sydney, NSW, Australia
Geometry and Topology Down Under
eBook ISBN:  978-1-4704-1025-4
Product Code:  CONM/597.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Geometry and Topology Down Under
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Geometry and Topology Down Under
Edited by: Craig D. Hodgson University of Melbourne, Parkville, Victoria, Australia
William H. Jaco Oklahoma State University, Stillwater, OK
Martin G. Scharlemann University of California, Santa Barbara, Santa Barbara, CA
Stephan Tillmann University of Sydney, Sydney, NSW, Australia
eBook ISBN:  978-1-4704-1025-4
Product Code:  CONM/597.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5972013; 369 pp
    MSC: Primary 57; 20; 53

    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.

    Readership

    Graduate students and researchers interested in low-dimensional geometry and topology.

  • Table of Contents
     
     
    • Articles
    • Joel Hass — What is an Almost Normal Surface?
    • Danny Calegari — The Ergodic Theory of Hyperbolic Groups
    • Sungbok Hong and Darryl McCullough — Mapping Class Groups of $3$-Manifolds, Then and Now
    • B. H. Bowditch — Stacks of Hyperbolic Spaces and Ends of 3-Manifolds
    • Emma Carberry — Harmonic Maps and Integrable Systems
    • Hyam Rubinstein — Some of Hyam’s Favourite Problems
    • David Bachman, Ryan Derby-Talbot and Eric Sedgwick — Almost Normal Surfaces with Boundary
    • Benjamin A. Burton — Computational Topology with Regina: Algorithms, Heuristics and Implementations
    • Adam Clay and Masakazu Teragaito — Left-Orderability and Exceptional Dehn Surgery on Two-Bridge Knots
    • Arnaud Deruelle, Mario Eudave-Muñoz, Katura Miyazaki and Kimihiko Motegi — Networking Seifert Surgeries on Knots IV: Seiferters and Branched Coverings
    • Stefan Friedl — Commensurability of Knots and $L^2$–Invariants
    • Jonathan A. Hillman — The Groups of Fibred 2-Knots
    • Craig Hodgson and Hidetoshi Masai — On the Number of Hyperbolic $3$-Manifolds of a Given Volume
    • Kazuhiro Ichihara and In Dae Jong — Seifert Fibered Surgery and Rasmussen Invariant
    • Feng Luo — Existence of Spherical Angle Structures on 3-Manifolds
    • J. Hyam Rubinstein and Abigail Thompson — 3-Manifolds with Heegaard Splittings of Distance Two
    • Martin Scharlemann — Generating the Genus $g+1$ Goeritz Group of a Genus $g$ Handlebody
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5972013; 369 pp
MSC: Primary 57; 20; 53

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.

Readership

Graduate students and researchers interested in low-dimensional geometry and topology.

  • Articles
  • Joel Hass — What is an Almost Normal Surface?
  • Danny Calegari — The Ergodic Theory of Hyperbolic Groups
  • Sungbok Hong and Darryl McCullough — Mapping Class Groups of $3$-Manifolds, Then and Now
  • B. H. Bowditch — Stacks of Hyperbolic Spaces and Ends of 3-Manifolds
  • Emma Carberry — Harmonic Maps and Integrable Systems
  • Hyam Rubinstein — Some of Hyam’s Favourite Problems
  • David Bachman, Ryan Derby-Talbot and Eric Sedgwick — Almost Normal Surfaces with Boundary
  • Benjamin A. Burton — Computational Topology with Regina: Algorithms, Heuristics and Implementations
  • Adam Clay and Masakazu Teragaito — Left-Orderability and Exceptional Dehn Surgery on Two-Bridge Knots
  • Arnaud Deruelle, Mario Eudave-Muñoz, Katura Miyazaki and Kimihiko Motegi — Networking Seifert Surgeries on Knots IV: Seiferters and Branched Coverings
  • Stefan Friedl — Commensurability of Knots and $L^2$–Invariants
  • Jonathan A. Hillman — The Groups of Fibred 2-Knots
  • Craig Hodgson and Hidetoshi Masai — On the Number of Hyperbolic $3$-Manifolds of a Given Volume
  • Kazuhiro Ichihara and In Dae Jong — Seifert Fibered Surgery and Rasmussen Invariant
  • Feng Luo — Existence of Spherical Angle Structures on 3-Manifolds
  • J. Hyam Rubinstein and Abigail Thompson — 3-Manifolds with Heegaard Splittings of Distance Two
  • Martin Scharlemann — Generating the Genus $g+1$ Goeritz Group of a Genus $g$ Handlebody
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.