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Tuesday, July 21, 2020 | History

7 edition of Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) found in the catalog.

Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs)

by Danny Calegari

  • 32 Want to read
  • 37 Currently reading

Published by Oxford University Press, USA .
Written in English


The Physical Object
Number of Pages352
ID Numbers
Open LibraryOL7401188M
ISBN 100198570082
ISBN 109780198570080

The influence of Thurston's hyperbolization theorem on the geometry and topology of 3-manifolds has been tremendous. This book presents a complete proof of the hyperbolization theorem for 3-manifolds that fiber over the circle, following the plan of Thurston's original (unpublished) proof, though the double limit theorem is dealt with in a. Foliations. Danny Calegari. Foliations and the geometry of 3-manifolds. -- Chapters 4 and 5 will be the most relevant to our very brief treatment of foliations, and the book's introductory chapter has some useful discussion of mapping tori and the mapping class group, but this is also just a very fun book to explore.

  This book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in geometric topology, each chapter centers around a key theorem or theorems.   Laminations and Foliations in Dynamics, Geometry, and Topology by Mikhail Lyubich, , available at Book Depository with free delivery worldwide.2/5(1).

Vol. 74 () Geodesic foliations in Lorentz 3-manifolds 5 of Lorentz conformal structures adapted to it. A ray geometry is an optical geometry such that Nhas geodesic is remarkable that this condition doesn’t depend on the adapted Lorentz structure. Outline 1 Introduction 2 Some differential geometry 3 Examples, applications, origins Examples of contact manifolds Classical mechanics Geometric ordinary differential equations 4 Fundamental results 5 Ideas and Directions Contact structures on 3-manifolds Open book decompositions.


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Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) by Danny Calegari Download PDF EPUB FB2

Foliations and the geometry of 3-manifolds. This book gives an exposition of the so-called "pseudo-Anosov" theory of foliations of 3-manifolds, generalizing Thurston's theory of surface automorphisms. A central idea is that of a universal circle for taut foliations and other dynamical objects.

The idea of a universal circle is due to Thurston. The pseudo-Anosov theory of taut foliations The purpose of this book is to give an exposition of the so-called “pseudo-Anosov”theory offoliations of theorygeneralizesThurston’s theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.

Some (but by no meansFile Size: 4MB. This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in Cited by: This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds.

This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in. Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) - Kindle edition by Calegari, Danny.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs).Manufacturer: Clarendon Press.

Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) eBook: Calegari, Danny: : Kindle StoreAuthor: Danny Calegari. Get this from a library. Foliations and the geometry of 3-manifolds.

[Danny Calegari] -- This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of three-manifolds. This theory generalises Thurston's theory of surface. Dynamics of Riemannian $1$-foliations on $3$-manifolds Choy, Jaeyoo and Chu, Hahng-Yun, Taiwanese Journal of Mathematics, $\mathbb{R}$–covered foliations of hyperbolic 3-manifolds Calegari, Danny, Geometry & Topology, Cited by:   Buy Foliations and the Geometry of 3-Manifolds (Oxford Mathematical Monographs) by Calegari, Danny (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible : Danny Calegari. Foliations and the Geometry of 3-Manifolds: : Danny Calegari: Libri in altre lingue. Passa al contenuto principale. Iscriviti a Prime Ciao, Accedi Account e liste Accedi Account e liste Resi e ordini Iscriviti a Prime Carrello.

Tutte le categorie. VAI Ricerca Ciao Scegli il tuo Author: Danny Calegari. Home» MAA Publications» MAA Reviews» Foliations and the Geometry of 3-Manifolds. Foliations and the Geometry of 3-Manifolds Category: Monograph. MAA Review; Table of Contents; We do not plan to review this book.

Preface. Surface bundles. The topology of S^1. Minimal surfaces. Taut foliations. Finite depth foliations. $\mathbb{R}$–covered foliations of hyperbolic 3-manifolds Calegari, Danny, Geometry & Topology, Dynamics of Riemannian $1$-foliations on $3$-manifolds Choy, Jaeyoo and Chu, Hahng-Yun, Taiwanese Journal of Mathematics, Cited by:   We analyse the topological and geometrical behavior of foliations on 3-manifolds.

We consider the transverse structure of an R-covered foliation in a 3-manifold, where R-covered means that in the universal cover the leaf space of the foliation is Hausdorff. If the manifold is aspherical we prove that either there is an incompressible torus in the manifold; or there is a Cited by:   The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others.

Its great development has allowed a better comprehension of several phenomena of mathematical and physical nature. Some Results on Secondary Characteristic Classes of Transversely Holomorphic Foliations (T Asuke) LS-Categories for Foliated Manifolds (H Colman) Dynamics and the Godbillon–Vey Class: A History and Survey (S Hurder) Similarity and Conformal Geometry of Foliations (R Langevin) Foliations and Contact Structures on 3-Manifolds (Y Mitsumatsu).

Foliations and the Geometry of 3-manifolds by Danny Calegari - Oxford University Press The book gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.

foliations on 3-manifolds from this problem set is thus justi ed. However, there are many other topics, which are unfortunately not covered either, including: \rigidity and deformations of foliations", \Riemannian foliations", \Riemannian geometry of foli.

This is a sequel of the papers [19, 20, 21] on open book foliations in which techniques to study the topology and contact structures of 3-manifolds are developed. The idea of an open book. OPEN BOOK FOLIATIONS TETSUYA ITO AND KEIKO KAWAMURO Abstract. We study open book foliations on surfaces in 3-manifolds, and give appli-cations to contact geometry of dimension 3.

We prove a braid-theoretic formula of the self-linking number of transverse links, which reveals an unexpected link to the Johnson.

This paper is devoted to discussing affine Hirsch foliations on 3-manifolds. First, we prove that up to isotopic leaf-conjugacy, every closed orientable 3-manifold M admits 0, 1 or 2 affine HirschAuthor: Bin Yu.

The topology and geometry of contact structures in dimension three 3 3-manifolds which do not admit Reebless codimension 1 foliations. There is related work of Calegari-Dunfield [4] and Fenley [25], as well as a different approach using Seiberg-Witten Floer homology, due to Kronheimer-Mrowka-Ozsv´ath-Szab´o [50].

The concepts of laminations and foliations appear in a diverse number of fields, such as topology, geometry, analytic differential equations, holomorphic dynamics, and renormalization theory.

Although these areas have developed deep relations, each has developed distinct research fields with little interaction among practitioners.Maybe a basic one is Novikov's theorem which basically proves that the existence of Reeb components is forced for foliations on many 3-manifolds.

And (I couldn't resist adding one last example), there are also foliations by Brouwer lines, which have recently been used (by LeCalvez and others) to prove interesting results about the dynamics of.