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Branched Standard Spines of 3-manifolds
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Catalogue Information
Field name
Details
Dewey Class
514.34
Title
Branched Standard Spines of 3-manifolds ([EBook] /) / by Riccardo Benedetti, Carlo Petronio.
Author
Benedetti, Riccardo
Added Personal Name
Petronio, Carlo
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1997.
Physical Details
VIII, 140 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1653
ISBN
9783540683452
Summary Note
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 note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0093620
Links to Related Works
Subject References:
Complex manifolds
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Manifolds and Cell Complexes (incl. Diff.Topology)
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Manifolds (Mathematics)
.
Mathematics
.
Authors:
Benedetti, Riccardo
.
Petronio, Carlo
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
514.34
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