Branched Standard Spines of 3-manifolds

• Main Authors: Benedetti, Riccardo (Author, http://id.loc.gov/vocabulary/relators/aut), Petronio, Carlo (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1653
• Subjects: Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

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 in...

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.