6 edition of **Geometrisation of 3-manifolds** found in the catalog.

- 232 Want to read
- 4 Currently reading

Published
**2010**
by European Mathematical Society in Zürich
.

Written in English

- Ricci flow,
- Three-manifolds (Topology)

**Edition Notes**

Statement | Laurent Bessières ... [et al] |

Series | Tracts in mathematics |

Classifications | |
---|---|

LC Classifications | QA377.3 .G46 2010 |

The Physical Object | |

Pagination | x, 237 p. : |

Number of Pages | 237 |

ID Numbers | |

Open Library | OL25537339M |

ISBN 10 | 3037190825 |

ISBN 10 | 9783037190821 |

OCLC/WorldCa | 671693343 |

Build stronger connections between the geometric perspective on 3-manifolds and other perspectives on 3-manifolds. I would put problems like understanding the properties of the Gordian graph of knots in here. Or the volume conjecture. 4-manifold theory enters the picture here because the question of how geometrization relates to surgery is a. The Geometry and Topology of Three-Manifolds Electronic version - March Thurston — The Geometry and Topology of 3-Manifolds iii. Contents Introduction iii Chapter 1. Geometry and three-manifolds 1 Chapter 2. Elliptic and hyperbolic geometry 9 File Size: 1MB.

Finite covering spaces of 3-manifolds Marc Lackenby ∗ Abstract. Following Perelman’s solution to the Geometrisation Conjecture, a ‘generic’ closed 3-manifold is known to admit a hyperbolic structure. However, our understand-ing of closed hyperbolic 3-manifolds is far from complete. In particular, the notorious. UNIVERSAL COVER OF 3-MANIFOLDS BUILT FROM INJECTIVE HANDLEBODIES5 produced by performing Dehn Surgery along inﬁnite families of pretzel knots and 2-bridge knots in S3. The following deﬁnition of CAT(k) metric spaces comes from the book [2] by n and ﬂiger. However, these spaces were ﬁrst introduced by Alexandrov in [1].

I believe that the canonical reference is the book "Geometrisation of 3-manifolds" by Laurent Bessières, Gérard Besson, Michel Boileau, Sylvain Maillot and Joan Porti. It is freely available on Besson's web page: here. Introduction to geometric group theory and 3{manifold topology Jean Raimbault Abstract: The goal of the course is to study the interplay between geometry, al-gebra and topology which occurs in geometric group theory. We will be particularly interested in the applications of these ideas to the study of 3{manifolds.

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The Geometrisation Conjecture was proposed by William Thurston in the mid s in order to classify compact 3-manifolds by means of a canonical decomposition along essential, embedded surfaces into pieces that possess geometric structures.

It contains the famous Poincaré Conjecture as a special case. InGrigory Perelman announced a proof of the. The aim of this book is to give a proof of Thurston’s Geometrisation Conjecture, solved by G.

Perelman in Perelman’s work completes a program initiated by R. Hamilton, using a geometric evolution equation called Ricci ﬂow. Perelman presented his ideas in three very concise manuscripts [Per02], [Per03a], [Per03b].

Geometrisation of 3-Manifolds (EMS Tracts in Mathematics) [Laurent Bessieres] on *FREE* shipping on qualifying offers. Geometrisation of 3-Manifolds (EMS Tracts in Mathematics)Cited by: ISBN: OCLC Number: Notes: "The aim of this book is to give a proof of Thurston's Geometrisation Conjecture, solved by G.

Perelman in ". Geometrisation of 3-manifolds. Bessieres, Laurent et al. European Mathematical Society pages $ Hardcover EMS tracts in mathematics; 13 QA Five mathematicians give a proof of Thurston's Geometrisation Conjecture, solved by G.

Perelman in using a geometric evolution equation called Ricci flow. Print book: EnglishView all editions and formats: Publication: Geometrisation of 3-manifolds. Rating: (not yet rated) 0 with reviews - Be the first. Subjects: Mannigfaltigkeit. Dimension 3. Geometrie.

View all subjects; More like this: Similar Items. Home» MAA Publications» MAA Reviews» Geometrisation of 3-Manifolds. Geometrisation of 3-Manifolds.

Laurent Bessières, Gérard Besson, Michel Boileau, Sylvain Maillot, and Joan Porti We do not plan to review this book. The Geometrisation conjecture; Part I. Ricci flow with bubbling-off: definitions and statements. The geometrisation Geometrisation of 3-manifolds book was proposed by William Thurston in the mid s in order to classify compact \(3\)-manifolds by means of a canonical decomposition along essential, embedded surfaces into pieces that possess geometric structures.

It contains the famous Poincaré Conjecture as a special case. Main Geometrisation of 3-manifolds. Geometrisation of 3-manifolds Bessieres L., Besson G., Boileau M., Maillot S., Porti J. Year: Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

After the proof of the Geometrisation conjecture, understanding the topological properties of hyperbolic 3–manifolds is thus a major goal of 3-dimensional topology. Recent breakthroughs of Kahn–Markovic, Wise, Agol and others have answered most long-standing open questions on the topic but there are still many less prominent ones which have.

Introduction Definition. A topological space X is a 3-manifold if it is a second-countable Hausdorff space and if every point in X has a neighbourhood that is homeomorphic to Euclidean 3-space. Mathematical theory of 3-manifolds. The topological, piecewise-linear, and smooth categories are all equivalent in three dimensions, so little distinction is made in whether we are dealing with.

The conjecture. A 3-manifold is called closed if it is compact and has no boundary. Every closed 3-manifold has a prime decomposition: this means it is the connected sum of prime 3-manifolds (this decomposition is essentially unique except for a small problem in the case of non-orientable manifolds).This reduces much of the study of 3-manifolds to the case of prime 3-manifolds: Conjectured by: William Thurston.

The geometry and topology of 3-manifolds Unknown Binding – January 1, by William P Thurston (Author) See all formats and editions Hide other formats and editions. The Amazon Book Review Author interviews, book reviews, editors' picks, and more.

Read it now. Enter your mobile number or email address below and we'll send you a link to Author: William P Thurston. Main Geometrisation of 3-Manifolds (EMS Tracts in Mathematics) Geometrisation of 3-Manifolds (EMS Tracts in Mathematics) Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

THE GEOMETRIES OF 3-MANIFOLDS modelled on any of these. For example2 x S, S1 has universal coverin2 xg U, S which is not homeomorphic t3 oor S U3. (Note that E3 and H3 are each homeomorphic to R3.)However2 x, U S an Sd 2xSi each possesses a very natural metric which is simply the product of the standard Size: 8MB.

Geometrisation of three-manifolds Bruno Martelli 17 november Bruno Martelli Geometrisation of three-manifolds 17 november 1 / Geometrisation Let M be a compact orientable 3-manifold, with boundary empty or consisting of tori.

(Kneser, Milnor, Jaco { Shalen, Johansson ’60) There is a canonical. Abstract. These notes are intended to be an introduction to the geometrisation of 3-manifold. The goal is not to give detailed proofs of the results presented here, but mainly to emphasize geometric properties of 3-manifolds and to illustrate some basic ideas or methods underlying Perelman’s proof of the geometrisation : Michel Boileau.

Abstract. In this paper we prove that the moduli space of metrics with positive scalar curvature of an orientable compact three-manifold is by: From the preface: """ this book is an introduction to surfaces and three-manifolds, and to their geometrisation, due to Poincaré and Koebe in in dimension two and to Thurston and Perelmann in in dimension three.

It is apparently a result of F. González-Acuña that all closed orientable 3-manifolds contain a fibered knot. (I am not sure exactly where to find a published proof of this result and as an aside I would be interested in hearing about any proofs/references that anyone knows.).

Porti, Weak collapsing and geometrisation of aspherical 3-manifolds, arXivv2 [] 28 Jan Three-manifold Recognizer", A Author: Carlo Petronio. Lecture 4: Differentiable Manifolds (International Winter School on Gravity and Light ) - Duration: The WE-Heraeus International Winter School on .Later chapters have not yet appeared in book form.

Please help improve this document by sending to Silvio Levy at [email protected] any useful information such as reports of typos, omissions, and departures from the printed notes that are not purely stylistic references for results attributed without citation.