Geometry and Topology Down Under -

Geometry and Topology Down Under

Buch | Softcover
383 Seiten
2013
American Mathematical Society (Verlag)
978-0-8218-8480-5 (ISBN)
134,65 inkl. MwSt
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Examines low-dimensional geometry and topology. This 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.
This book contains the proceedings of the conference Geometry & Topology Down Under, held July 11-22, 2011, at the University of Melbourne, Melbourne, 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 favourite problems by Hyam Rubinstein.

Craig D. Hodgson, University of Melbourne, Parkville, Victoria, Australia William H. Jaco, Oklahoma State University, Stillwater, OK, USA Martin G. Scharlemann, University of California, Santa Barbara, CA, USA Stephan Tillmann, University of Sydney, NSW, Australia

Survey and expository papers:

What is an almost normal surface? by J. Hass

The ergodic theory of hyperbolic groups by D. Calegari

Mapping class groups of 3-manifolds, then and now by S. Hong and D. McCullough

Stacks of hyperbolic spaces and ends of 3-manifolds by B. H. Bowditch

Harmonic maps and integrable systems by E. Carberry

Some of Hyam's favourite problems by H. Rubinstein

Research papers:

Almost normal surfaces with boundary by D. Bachman, R. Derby-Talbot, and E. Sedgwick

Computational topology with Regina: Algorithms, heuristics and implementations by B. A. Burton

Left-orderability and exceptional Dehn surgery on two-bridge knots by A. Clay and M. Teragaito

Networking Seifert surgeries on knots IV: Seiferters and branched coverings by A. Deruelle, M. Eudave-Munoz, K. Miyazaki, and K. Motegi

Commensurability of knots and $L^2$-invariants by S. Friedl

The groups of fibred 2-knots by J. A. Hillman

On the number of hyperbolic 3-manifolds of a given volume by C. Hodgson and H. Masai

Seifert fibered surgery and Rasmussen invariant by K. Ichihara and I. D. Jong

Existence of spherical angle structures on 3-manifolds by F. Luo

3-manifolds with Heegaard splittings of distance two by J. H. Rubinstein and A. Thompson

Generating the genus $g 1$ Goeritz group of a genus $g$ handlebody by M. Scharlemann

Reihe/Serie Contemporary Mathematics
Verlagsort Providence
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-8218-8480-8 / 0821884808
ISBN-13 978-0-8218-8480-5 / 9780821884805
Zustand Neuware
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