Overview

This text provides a unified combinatorial realization of the categories of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. In all four cases the objects of the realization are finite enhanced graphs. These realizations are based on the notion of branched standard spine, introduced in the book as a combination of the notion of branched surface with that of standard spine. The book is intended for readers interested in low-dimensional topology, and some familiarity with the basics is assumed. A list of questions, some of which concern relations with the theory of quantum invariants, is included.

Full Product Details

Author:   Riccardo Benedetti ,  Carlo Petronio
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1997 ed.
Volume:   1653
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.480kg
ISBN:  

9783540626275

ISBN 10:   3540626271
Pages:   140
Publication Date:   20 March 1997
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Motivations, plan and statements.- A review on standard spines and o-graphs.- Branched standard spines.- Manifolds with boundary.- Combed closed manifolds.- More on combings, and the closed calculus.- Framed and spin manifolds.- Branched spines and quantum invariants.- Problems and perspectives.- Homology and cohomology computations.

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