Last edited by Vugore
Tuesday, July 28, 2020 | History

5 edition of Imbeddings of three-manifold groups found in the catalog.

# Imbeddings of three-manifold groups

## by Francisco GonzaМЃlez-AcunМѓa

Written in English

Subjects:
• Three-manifolds (Topology),
• Topological imbeddings.

• Edition Notes

Classifications The Physical Object Statement Francisco González-Acuña, Wilbur C. Whitten. Series Memoirs of the American Mathematical Society,, no. 474 Contributions Whitten, Wilbur C. 1931- LC Classifications QA3 .A57 no.474, QA613.2 .A57 no.474 Pagination viii, 55 p. : Number of Pages 55 Open Library OL1715686M ISBN 10 0821825348 LC Control Number 92018062

The purpose of the book under review is to give a survey of the state-of-the-art knowledge concerning 3-manifold groups. The book assumes a fair amount of background in both (infinite) group theory and 3-manifold theory, but reminds the reader of essential definitions. It is very clearly written and includes citations to well-over other. In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.. When some object X is said to be embedded in another object Y, the embedding is given by some injective and structure-preserving map f: X → precise meaning of "structure-preserving" depends on the kind of mathematical.

In this paper I give a completed topological characterization of Stein manifolds of complex dimension >2. Another paper (see [E14]) is devoted to new topogical obstructions for the existence of a Stein complex structure on real manifolds of dimension 4. Main results of the paper have been announced in [E13].Cited by: This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented includ (semi)group theory, algebraic combinatorics, and the theory of algebraic group embeddings will benefit from this unique and broad compilation.

This section presents an introduction to the second edition of the book Graphs, Groups and Surface. The field of topological graph theory has expanded in the 10 years.. The nine chapters of the first edition are revised and updated. There are 32 new problems that are distributed among these chapters. GROUPS STEFAN FRIEDL Introduction In these lecture notes we will give a quick introduction to 3-manifolds, with a special emphasis on their fundamental groups. In the rst section we will show that given k 4 any nitely presented group is the fundamental group of a closed, oriented k{dimensional manifold. This is not the case for.

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### Imbeddings of three-manifold groups by Francisco GonzaМЃlez-AcunМѓa Download PDF EPUB FB2

In particular, the authors are concerned with 1) determining which three-manifold groups are not cohopfian—that is, which three-manifold groups imbed properly in themselves; 2) finding the knot subgroups of a knot group; and 3) investigating when surgery on a knot $$K$$ yields lens (or “lens-like”) spaces and how this relates to the knot subgroup structure of $$\pi _1(S^3-K)$$.

Imbeddings of three-manifold groups. [Francisco González-Acuña; Wilbur C Whitten] -- This paper deals with the two broad questions of how 3-manifold groups imbed in one another and how such imbeddings relate to any corresponding [lowercase Greek]Pi₁-injective maps. Electronic books: Additional Physical Format: Print version: González-Acuña, Francisco, Imbeddings of three-manifold groups / Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Francisco González-Acuña; Wilbur.

that 3-manifold groups have many properties in common with linear groups: for exam- ple, they are residually nite [Hem87] (in fact, virtually residually pfor all but nitely many prime numbers p[AF13], see (C) in Section below) and satisfy the Tits.

3-Manifolds book. Read reviews from world’s largest community for readers. Looks at the role of the fundamental group in determining the topology of a gi /5. The field of 3-manifold topology has made great strides forward since when Thurston articulated his influential list of questions.

Primary among these is Perelman's proof of the Geometrization Conjecture, but other highlights include the Tameness Theorem of Agol and Calegari-Gabai, the Surface Subgroup Theorem of Kahn-Markovic, the work of Wise and others on special cube complexes, and Format: Paperback.

lectures on diffeomorphism groups of manifolds, version febru 7 11 Hatcher’s proof of the Smale conjecture 87 A restatement of Smale’s theorem 87 Hatcher’s proof and Alexander’s theorem 90 Consequences of Hatcher’s theorem 92 III The s-cobordism theorem 95 12 Transversality 97 Sard’s lemma 97 Transversality Jet transversality File Size: 1MB.

By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space.

Such equivariant embeddings are the subject of this book. On representation varieties of 3–manifold groups MICHAEL KAPOVICH JOHN J MILLSON We prove universality theorems (“Murphy’s laws”) for representation varieties of fun-damental groups of closed 3–dimensional manifolds.

We show that germs of SL.2/– representation schemes of such groups are essentially the same as germs of schemes. The Floer groups of a general three-manifold are then defined and their properties studied in detail.

Two final chapters are devoted to the calculation of Floer groups and to applications of the. Finally, as an application of Gromov's work, the author introduces Haefliger's classification theorem of foliations on open manifolds.

Also described here is the Adachi's work with Landweber on the integrability of almost complex structures on open manifolds. This book. William Jaco, Finitely presented subgroups of three-manifold groups, Invent. Math. 13 (), – Math.

13 (), – MathSciNet CrossRef zbMATH Google ScholarCited by: Welcome to the Manifold Atlas Project: a scientific Wiki and - an on-line journal, the Bulletin of the Manifold Atlas New Feature: users can upload complete texts as pdf files. The Manifold Atlas has six chapters.

Manifolds: with pages about constructions and examples of manifolds as well as their invariants and properties.; Theory: with pages summarising useful general facts and theorems.

This book summarizes all these developments and provides an exhaustive account of the current state of the art of 3-manifold topology, especially focusing on the consequences for fundamental groups of 3-manifolds.

As the first book on 3-manifold topology that incorporates the exciting progress of the last two decades, it will be an invaluable.

Memoirs of the American Mathematical Society. The Memoirs of the AMS series is devoted to the publication of research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers or groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the AMS.

On the stable equivalence of open books in three-manifolds 99 equal homology classes in H n(STM;Z), or equivalently, if the curve in M consisting of points where they coincide with opposite orientations is nullhomologous (seeSection 2).

If M is an integral homology three-sphere, any two plane ﬁelds on. The Knot group and the fundamental group of the embedding 3-manifold In this paper it is proven that if the group of covering translations of the covering space of a compact, connected, P 2.

The loop space of the configuration space of César de Sá-Rourke-Hendriks-Laudenbach is identified as a factor (up to homotopy) of a certain space of imbeddings Cited by: Extremal Graph Theory for Book Embeddings. This note describes the following topics: Book-Embeddings and Pagenumber, Book-Embeddings of Planar Graphs, Extremal Graph Theory, Pagenumber and Extremal Results, Maximal Book-Embeddings.

Author(s): Jessica McClintock. Formally, classifying manifolds is classifying objects up to are many different notions of "manifold", and corresponding notions of "map between manifolds", each of which yields a different category and a different classification question.

These categories are related by forgetful functors: for instance, a differentiable manifold is also a topological manifold, and a. Purchase Graphs, Groups and Surfaces, Volume 8 - 2nd Edition.

Print Book & E-Book. ISBNBook Edition: 2.The last ten years have seen rapid advances in the understanding of differentiable four-manifolds, not least of which has been the discovery of new 'exotic' manifolds.

These results have had far-reaching consequences in geometry, topology, and mathematical physics, and have proven to be a mainspring of current mathematical research. This book provides a lucid and accessible account of the.Commutators and uniformly perfect groups 80 Rotation number and Ghys’ theorem 84 Homological characterization of laminations 87 Laminar groups 88 Groups with simple dynamics 90 Convergence groups 93 Examples 96 Analytic quality of groups acting on I and S1 3 Minimal surfaces Connections.