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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, CA, and Stephan Tillmann, University of Sydney, NSW, Australia
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Contemporary Mathematics
2013; 369 pp; softcover
Volume: 597
ISBN-10: 0-8218-8480-8
ISBN-13: 978-0-8218-8480-5
List Price: US$123 Member Price: US$98.40
Order Code: CONM/597

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.

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

Survey and expository papers
• J. Hass -- What is an almost normal surface?
• D. Calegari -- The ergodic theory of hyperbolic groups
• S. Hong and D. McCullough -- Mapping class groups of 3-manifolds, then and now
• B. H. Bowditch -- Stacks of hyperbolic spaces and ends of 3-manifolds
• E. Carberry -- Harmonic maps and integrable systems
• H. Rubinstein -- Some of Hyam's favourite problems
Research papers
• D. Bachman, R. Derby-Talbot, and E. Sedgwick -- Almost normal surfaces with boundary
• B. A. Burton -- Computational topology with Regina: Algorithms, heuristics and implementations
• A. Clay and M. Teragaito -- Left-orderability and exceptional Dehn surgery on two-bridge knots
• A. Deruelle, M. Eudave-Muñoz, K. Miyazaki, and K. Motegi -- Networking Seifert surgeries on knots IV: Seiferters and branched coverings
• S. Friedl -- Commensurability of knots and $$L^2$$-invariants
• J. A. Hillman -- The groups of fibred 2-knots
• C. Hodgson and H. Masai -- On the number of hyperbolic 3-manifolds of a given volume
• K. Ichihara and I. D. Jong -- Seifert fibered surgery and Rasmussen invariant
• F. Luo -- Existence of spherical angle structures on 3-manifolds
• J. H. Rubinstein and A. Thompson -- 3-manifolds with Heegaard splittings of distance two
• M. Scharlemann -- Generating the genus $$g+1$$ Goeritz group of a genus $$g$$ handlebody