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| ♥ Book Title : Foliations: Dynamics, Geometry and Topology ♣ Name Author : Masayuki Asaoka ∞ Launching : 2014-10-07 ◊ Info ISBN Link : 9783034808712 ⊗ Detail ISBN code : 3034808712 ⊕ Number Pages : Total 198 sheet ♮ News id : ba_CBAAAQBAJ
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☯ Full Synopsis : "This book is an introduction to several active research topics in Foliation Theory and its connections with other areas. It contains expository lectures showing the diversity of ideas and methods converging in the study of foliations. The lectures by Aziz El Kacimi Alaoui provide an introduction to Foliation Theory with emphasis on examples and transverse structures. Steven Hurder's lectures apply ideas from smooth dynamical systems to develop useful concepts in the study of foliations: limit sets and cycles for leaves, leafwise geodesic flow, transverse exponents, Pesin Theory and hyperbolic, parabolic and elliptic types of foliations. The lectures by Masayuki Asaoka compute the leafwise cohomology of foliations given by actions of Lie groups, and apply it to describe deformation of those actions. In his lectures, Ken Richardson studies the properties of transverse Dirac operators for Riemannian foliations and compact Lie group actions, and explains a recently proved index formula. Besides students and researchers of Foliation Theory, this book will be interesting for mathematicians interested in the applications to foliations of subjects like Topology of Manifolds, Differential Geometry, Dynamics, Cohomology or Global Analysis."Article| Masayuki Asaoka| Statement ..." |
| ♥ Book Title : Laminations and Foliations in Dynamics, Geometry and Topology ♣ Name Author : Mikhail Lyubich ∞ Launching : 2001 ◊ Info ISBN Link : 9780821819852 ⊗ Detail ISBN code : 0821819852 ⊕ Number Pages : Total 233 sheet ♮ News id : OFkbCAAAQBAJ
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☯ Full Synopsis : "This volume is based on a conference held at SUNY, Stony Brook (NY). 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. The conference brought together the diverse points of view of researchers from different areas. This book includes surveys and research papers reflecting the broad spectrum of themes presented at the event. Of particular interest are the articles by F. Bonahon, 'Geodesic Laminations on Surfaces', and D. Gabai, 'Three Lectures on Foliations and Laminations on 3-manifolds', which are based on mini courses that took place during the conference."Article| Mikhail Lyubich| Statement ..." |
| ♥ Book Title : Laminations and Foliations in Dynamics, Geometry and Topology ♣ Name Author : Mikhail Lyubich ∞ Launching : 2001 ◊ Info ISBN Link : 9780821819852 ⊗ Detail ISBN code : 0821819852 ⊕ Number Pages : Total 233 sheet ♮ News id : 750WtwEACAAJ
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☯ Full Synopsis : "This volume is based on a conference held at SUNY, Stony Brook (NY). 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. The conference brought together the diverse points of view of researchers from different areas. This book includes surveys and research papers reflecting the broad spectrum of themes presented at the event. Of particular interest are the articles by F. Bonahon, 'Geodesic Laminations on Surfaces', and D. Gabai, 'Three Lectures on Foliations and Laminations on 3-manifolds', which are based on mini courses that took place during the conference."Article| Mikhail Lyubich| Statement ..." |
| ♥ Book Title : Geometry, Dynamics And Topology Of Foliations: A First Course ♣ Name Author : Scardua Bruno ∞ Launching : 2017-02-16 ◊ Info ISBN Link : 9789813207097 ⊗ Detail ISBN code : 9813207094 ⊕ Number Pages : Total 196 sheet ♮ News id : ZPGtDgAAQBAJ
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☯ Full Synopsis : "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. Our book contains material dating from the origins of the theory of foliations, from the original works of C Ehresmann and G Reeb, up till modern developments. In a suitable choice of topics we are able to cover material in a coherent way bringing the reader to the heart of recent results in the field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf Theorem, are proved in the text. The stability theorem of Thurston and the compact leaf theorem of Plante are also thoroughly proved. Nevertheless, these notes are introductory and cover only a minor part of the basic aspects of the rich theory of foliations."Article| Scardua Bruno| Statement ..." |
| ♥ Book Title : Singularities in Geometry, Topology, Foliations and Dynamics ♣ Name Author : José Luis Cisneros-Molina ∞ Launching : 2017-02-13 ◊ Info ISBN Link : 9783319393391 ⊗ Detail ISBN code : 3319393391 ⊕ Number Pages : Total 231 sheet ♮ News id : EUcfDgAAQBAJ
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☯ Full Synopsis : "This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings. Singularity theory is at the crossroad of various branches of mathematics and science in general. In recent years there have been remarkable developments, both in the theory itself and in its relations with other areas. The contributions in this volume originate from the “Workshop on Singularities in Geometry, Topology, Foliations and Dynamics”, held in Merida, Mexico, in December 2014, in celebration of José Seade’s 60th Birthday. It is intended for researchers and graduate students interested in singularity theory and its impact on other fields."Article| José Luis Cisneros-Molina| Statement ..." |
| ♥ Book Title : Foliations and the Geometry of 3-Manifolds ♣ Name Author : Danny Calegari ∞ Launching : 2007-05-17 ◊ Info ISBN Link : 9780198570080 ⊗ Detail ISBN code : 0198570082 ⊕ Number Pages : Total 363 sheet ♮ News id : ks8TDAAAQBAJ
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☯ Full Synopsis : "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 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects."Article| Danny Calegari| Statement ..." |
| ♥ Book Title : Foliations, Geometry, and Topology ♣ Name Author : Paul A. Schweitzer ∞ Launching : 2009 ◊ Info ISBN Link : 9780821846285 ⊗ Detail ISBN code : 0821846280 ⊕ Number Pages : Total 232 sheet ♮ News id : UdzNAwAAQBAJ
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☯ Full Synopsis : "This volume represents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers concentrate on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces. There are survey papers on classification of foliations and their dynamical properties, including codimension one foliations with Bott - Morse singularities. Other papers involve the relationship of foliations with characteristic classes, contact structures, and Eliashberg - Mishachev wrinkled mappings."Article| Paul A. Schweitzer| Statement ..." |
| ♥ Book Title : Foliations: Geometry and Dynamics ♣ Name Author : Paweł Walczak ∞ Launching : 2002-02-01 ◊ Info ISBN Link : 9789814489706 ⊗ Detail ISBN code : 9814489700 ⊕ Number Pages : Total 460 sheet ♮ News id : 6NjUCgAAQBAJ
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☯ Full Synopsis : "This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets. Contents:Survey Articles: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)Operator Algebras and the Index Theorem on Foliated Manifolds (H Moriyoshi)Research Articles:Distributional Betti Numbers of Transitive Foliations of Codimension One (J Álvarez-López & Y Kordyukov)Tautly Foliated 3-Manifolds with No R-Covered Foliations (M Brittenham)Endests of Exceptional Leaves — A Theorem of G Duminy (J Cantwell & L Conlon)Foliations and Compactly Generated Pseudogroups (A Haefliger)Transverse Lusternik–Schnirelmann Category and Non-Proper Leaves (R Langevin & P Walczak)On Exact Poisson Manifolds of Dimension 3 (T Mizutani)On the Perfectness of Groups of Diffeomorphisms of the Interval Tangent to the Identity at the Endpoints (T Tsuboi)and other papers Readership: Researchers interested in mathematics, especially in fields related to differential geometry and topology, and the theory of dynamical systems. Keywords:Proceedings;Workshop;Geometry;Warsaw (Poland);Dynamics;Euroworkshop"Article| Paweł Walczak| Statement ..." |
| ♥ Book Title : Foliations on Surfaces ♣ Name Author : Igor Nikolaev ∞ Launching : 2013-03-14 ◊ Info ISBN Link : 9783662045244 ⊗ Detail ISBN code : 3662045249 ⊕ Number Pages : Total 450 sheet ♮ News id : C2HoCAAAQBAJ
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☯ Full Synopsis : "This book presents a comprehensive, encyclopedic approach to the subject of foliations, one of the major concepts of modern geometry and topology. It addresses graduate students and researchers and serves as a reference book for experts in the field."Article| Igor Nikolaev| Statement ..." |
| ♥ Book Title : Confoliations ♣ Name Author : Y. Eliashberg ∞ Launching : 1998 ◊ Info ISBN Link : 9780821807767 ⊗ Detail ISBN code : 0821807765 ⊕ Number Pages : Total 66 sheet ♮ News id : nufxBwAAQBAJ
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☯ Full Synopsis : "This book presents the first steps of a theory of confoliations designed to link geometry and topology of three-dimensional contact structures with the geometry and topology of codimension-one foliations on three-dimensional manifolds. Developing almost independently, these theories at first glance belonged to two different worlds: The theory of foliations is part of topology and dynamical systems, while contact geometry is the odd-dimensional 'brother' of symplectic geometry. However, both theories have developed a number of striking similarities. Confoliations - which interpolate between contact structures and codimension-one foliations - should help us to understand better links between the two theories. These links provide tools for transporting results from one field to the other.It's features include: a unified approach to the topology of codimension-one foliations and contact geometry; insight on the geometric nature of integrability; and, new results, in particular on the perturbation of confoliations into contact structures."Article| Y. Eliashberg| Statement ..." |
| ♥ Book Title : Topology of Foliations ♣ Name Author : Itiro Tamura ∞ Launching : 2006 ◊ Info ISBN Link : 0821842005 ⊗ Detail ISBN code : 9780821842003 ⊕ Number Pages : Total 193 sheet ♮ News id : t8X94pXLmzoC
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☯ Full Synopsis : "This book provides historical background and a complete overview of the qualitative theory of foliations and differential dynamical systems. Senior mathematics majors and graduate students with background in multivariate calculus, algebraic and differential topology, differential geometry, and linear algebra will find this book an accessible introduction. Upon finishing the book, readers will be prepared to take up research in this area. Readers will appreciate the book for its highly visual presentation of examples in low dimensions. The author focuses particularly on foliations with compact leaves, covering all the important basic results. Specific topics covered include: dynamical systems on the torus and the three-sphere, local and global stability theorems for foliations, the existence of compact leaves on three-spheres, and foliated cobordisms on three-spheres. Also included is a short introduction to the theory of differentiable manifolds."Article| Itiro Tamura| Statement ..." |
| ♥ Book Title : Geometry and Topology in Dynamics ♣ Name Author : Marcy Barge ∞ Launching : 1999 ◊ Info ISBN Link : 9780821819586 ⊗ Detail ISBN code : 0821819585 ⊕ Number Pages : Total 252 sheet ♮ News id : yVgbCAAAQBAJ
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☯ Full Synopsis : "This volume consists of the written presentations of lectures given at two special sessions: the AMS Special Session on Topology in Dynamics (Winston-Salem, NC) and the AMS-AWM Special Session on Geometry in Dynamics (San Antonio, TX). Each article concerns aspects of the topology or geometry of dynamical systems. Topics covered include the following: foliations and laminations, iterated function systems, the three-body problem, isotopy stability, homoclinic tangles, fractal dimension, Morse homology, knotted orbits, inverse limits, contact structures, Grassmanians, blowups, and continua. New results are presented reflecting current trends in topological aspects of dynamical systems. The book offers a wide variety of topics of special interest to those working this area bridging topology and dynamical systems."Article| Marcy Barge| Statement ..." |