Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Representing 3-manifolds by filling Dehn surfaces / Ruben Vigara and Alvaro Lozano-Rojo.

By: Contributor(s): Material type: TextTextSeries: K&E series on knots and everything ; v 58.Publication details: Singapore : World Scientific, ©2016.Description: xvii, 276 pages : illustrations ; 24 cmISBN:
  • 9789814725484 (hbk.)
Subject(s): DDC classification:
  • 514.34 23 V672
Contents:
1. Preliminaries -- 2. Filling Dehn surfaces -- 3. Johansson diagrams -- 4. Fundamental group of a Dehn sphere -- 5. Filling homotopies -- 6. Proof of Theorem 5.8 -- 7. The triple point spectrum -- 8. Knots, knots and some open questions -- Appendices.
Summary: This book provides an introduction to the beautiful and deep subject of filling Dehn surfaces in the study of topological 3-manifolds. This book presents, for the first time in English and with all the details, the results from the PhD thesis of the first author, together with some more recent results in the subject. It also presents some key ideas on how these techniques could be used on other subjects. Representing 3-Manifolds by Filling Dehn Surfaces is mostly self-contained requiring only basic knowledge on topology and homotopy theory. The complete and detailed proofs are illustrated with a set of more than 600 spectacular pictures, in the tradition of low-dimensional topology books. It is a basic reference for researchers in the area, but it can also be used as an advanced textbook for graduate students or even for adventurous undergraduates in mathematics. The book uses topological and combinatorial tools developed throughout the twentieth century making the volume a trip along the history of low-dimensional topology.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 514.34 V672 (Browse shelf(Opens below)) Available 138019
Total holds: 0

Includes bibliographical references and index.

1. Preliminaries --
2. Filling Dehn surfaces --
3. Johansson diagrams --
4. Fundamental group of a Dehn sphere --
5. Filling homotopies --
6. Proof of Theorem 5.8 --
7. The triple point spectrum --
8. Knots, knots and some open questions --
Appendices.

This book provides an introduction to the beautiful and deep subject of filling Dehn surfaces in the study of topological 3-manifolds. This book presents, for the first time in English and with all the details, the results from the PhD thesis of the first author, together with some more recent results in the subject. It also presents some key ideas on how these techniques could be used on other subjects. Representing 3-Manifolds by Filling Dehn Surfaces is mostly self-contained requiring only basic knowledge on topology and homotopy theory. The complete and detailed proofs are illustrated with a set of more than 600 spectacular pictures, in the tradition of low-dimensional topology books. It is a basic reference for researchers in the area, but it can also be used as an advanced textbook for graduate students or even for adventurous undergraduates in mathematics. The book uses topological and combinatorial tools developed throughout the twentieth century making the volume a trip along the history of low-dimensional topology.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in