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El. knyga: Geometry and Topology Down Under

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  • Formatas: 369 pages
  • Serija: Contemporary Mathematics
  • Išleidimo metai: 01-Aug-2013
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470410254
Kitos knygos pagal šią temą:
  • Formatas: 369 pages
  • Serija: Contemporary Mathematics
  • Išleidimo metai: 01-Aug-2013
  • Leidėjas: American Mathematical Society
  • ISBN-13: 9781470410254
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Six survey and expository papers and 11 research papers explore hyperbolic geometry, symplectic geometry, geometric topology, and other areas of geometry and topology. Among the topics are the ergodic theory of hyperbolic groups, harmonic maps and integrable systems, left-orderability and exceptional Dehn surgery on two-bridge knots, the commensurability of knots and L2-unvariants, the number of hyperbolic 3-manifolds of a given volume, and 3-manifolds with Heegaard splittings of distance two. Rubinstein himself weighs in with a list of his favorite problems. The proceedings are not indexed. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)
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
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