1 edition of **Foliations on Surfaces** found in the catalog.

- 184 Want to read
- 24 Currently reading

Published
**2001**
by Springer Berlin Heidelberg in Berlin, Heidelberg
.

Written in English

- Combinatorics,
- Mathematics,
- Cell aggregation,
- Global analysis

Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry. This comprehensive book addresses graduate students and researchers and will serve as a reference book for experts in the field.

**Edition Notes**

Statement | by Igor Nikolaev |

Series | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 41, Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics -- 41 |

Classifications | |
---|---|

LC Classifications | QA613-613.8, QA613.6-613.66 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (xxvi, 450 p.) |

Number of Pages | 450 |

ID Numbers | |

Open Library | OL27039325M |

ISBN 10 | 3642086985, 3662045249 |

ISBN 10 | 9783642086984, 9783662045244 |

OCLC/WorldCa | 851375313 |

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 minicourses that took place during the. We study open book foliations on surfaces in 3-manifolds, and give applications 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-Morita homomorphism in mapping class group theory. We also give an alternative combinatorial proof to the Bennequin-Eliashberg inequality. Cited by:

Foliation is exhibited most prominently by sheety minerals, such as mica or r, foliation is most well-developed—that is, the rock layers have experienced the greatest amount of flattening—in the gneisses and other coarse-grained rocks of high metamorphic grade (which form under high pressure and in temperatures above °C [ °F]). These are lecture notes of a course given in Pisa, SNS, in february They provide a classification of holomorphic foliations of nongeneral type on compact Kaehler surfaces.

3-Manifolds. When it's finished, this book will be a modern introduction to 3-manifolds. This is a very big subject, and the book wants to be as short as possible, so there is no hope of being comprehensive (comprehensible is another matter). Nevertheless, I've tried to be complete and rigorous (if brief) whenever mathematical reality allows. Foliation definition is - the process of forming into a leaf.

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Foliations on surfaces Download foliations on surfaces or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get foliations on surfaces book now. This site is like a library, Use search box in the widget to get ebook that you want.

Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differential and noncommutative geometry.

Foliations on surfaces. [Igor Nikolaev] -- "Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves.

This book is devoted to geometry and topology of. Foliations on surfaces. [Igor Nikolaev] This book presents a comprehensive, encyclopedic approach to the subject of foliations, one of the major concepts of modern geometry and topology. Morse-Smale Foliations.- 3. Foliations Without Holonomy.- 4.

Invariants of Foliations.- 5. Curves on Surfaces.- 6. Non-compact Surfaces.- 7. Ergodic. Foliations is one of the major concepts of modern geometry and topology meaning a partition of topological space into a disjoint sum of leaves. This book is devoted to geometry and topology of surface foliations and their links to ergodic theory, dynamical systems, complex analysis, differentialBrand: Springer-Verlag Berlin Heidelberg.

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 text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.

We study open book foliations on surfaces in 3-manifolds, and give applications to contact geometry of dimension 3. We prove a braid-theoretic formula of the self-linking number of transverse.

Introduction to the Geometry of Foliations, Part A Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy. Authors: Hector, Gilbert Free Preview. Buy this book eB89 Book Title Introduction to the Geometry of Foliations, Part A Book SubtitleBrand: Vieweg+Teubner Verlag.

Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Holonomy (Aspects of Mathematics) 2nd ed. Edition by Gilbert Hector (Author) › Visit Amazon's Gilbert Hector Page.

Find all the books, read about the author, and more. Cited by: Birational Geometry of Foliations (IMPA Monographs Book 1) - Kindle edition by Brunella, Marco.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Birational Geometry of Foliations (IMPA Monographs Book 1).Manufacturer: Springer. Foliations of circle bundles Small Seifert ﬁbered spaces 5 Finite depth foliations Addition of surfaces The Thurston norm on homology Geometric inequalities and ﬁbered faces Sutured manifolds Decomposing sutured manifolds Constructing foliations from sutured hierarchies [C02] L.

Conlon, Foliations and locally free transformation groups of codimension two, Washington University, St. Louis, Missouri (preprint). Zentralblatt MATH: Mathematical Reviews (MathSciNet): MR Foliation in geology refers to repetitive layering in metamorphic rocks.

Each layer can be as thin as a sheet of paper, or over a meter in thickness. The word comes from the Latin folium, meaning "leaf", and refers to the sheet-like planar structure.

It is caused by shearing forces (pressures pushing different sections of the rock in different directions), or differential pressure (higher.

birational geometry of foliations Download birational geometry of foliations or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get birational geometry of foliations book now. This site is like a library, Use search box in the widget to get ebook that you want.

The Paperback of the Introduction to the Geometry of Foliations, Part A: Foliations on Compact Surfaces, Fundamentals for Arbitrary Codimension, and Due to COVID. Such operations allow us to simplify the open book foliations and to put surfaces and closed braids in better positions.

On a relation between the self-linking number and the braid index of. 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.

The American Mathematical Society recently published Braid Foliations in Low-Dimensional Topology, co-authored by UB Mathematics Professor William W. Menasco, and Western Illinois University Professor Douglas J. book is a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3.

The book under review thoroughly investigates all three types of homeomorphisms of surfaces and proves Thurston’s classification theorem. In particular, the book carefully explains (singular, measured) foliations, their relationship to surface homeomorphisms, and how they can be used to construct “Thurston’s compactification of.

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.foliation (fō′lē-ā′shən) n.

1. The state of being in leaf. 2. Decoration with sculpted or painted foliage. 3. Architecture Decoration of an opening with cusps and foils, as in Gothic tracery.

4. a. The act, process, or product of forming metal into thin leaf or foil. b. The act or process of .TAUT FOLIATIONS IN SURFACE BUNDLES WITH MULTIPLE BOUNDARY COMPONENTS3 foliation.

Note that c 1 is sufﬁcient but not always necessary to guarantee that ˘(S;h) is close to a co-orientable taut foliation. For an open book with multiple binding components, there is no such global lower bound on the fractional Dehn twist coefﬁcients sufﬁcient toCited by: 3.