Branched Standard Spines of 3-manifolds / by Riccardo Benedetti, Carlo Petronio.

Format:

Book

Author/Creator:

Benedetti, R., author.

Petronio, Carlo, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1653.

Lecture Notes in Mathematics, 0075-8434 ; 1653

Language:

English

Subjects (All):

Cell aggregation--Mathematics.

Cell aggregation.

Manifolds and Cell Complexes (incl. Diff.Topology).

Local Subjects:

Manifolds and Cell Complexes (incl. Diff.Topology).

Physical Description:

1 online resource (VIII, 140 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.

System Details:

text file PDF

Summary:

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.

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.

Other Format:

Printed edition:

ISBN:

9783540683452

Access Restriction:

Restricted for use by site license.