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Branched Standard Spines of 3-Manifolds : Lecture Notes in Computer Science - Riccardo Benedetti

Branched Standard Spines of 3-Manifolds

Lecture Notes in Computer Science

Paperback Published: 20th March 1997
ISBN: 9783540626275
Number Of Pages: 140

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This book provides a unified combinatorial realization of the categroies 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, and only finitely many local moves have to be taken into account. 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 concerning relations with the theory of quantum invariants, is enclosed.

Motivations, plan and statementsp. 1
A review on standard spines and o-graphsp. 13
Branched standard spinesp. 23
Manifolds with boundaryp. 40
Combed closed manifoldsp. 64
More on combings, and the closed calculusp. 73
Framed and spin manifoldsp. 85
Branched spines and quantum invariantsp. 98
Problems and perspectivesp. 108
Homology and cohomology computationsp. 121
Bibliographyp. 127
Indexp. 131
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783540626275
ISBN-10: 3540626271
Series: Lecture Notes in Computer Science
Audience: General
Format: Paperback
Language: English
Number Of Pages: 140
Published: 20th March 1997
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.81
Weight (kg): 0.22

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