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AuthorBenedetti, Riccardo. author
TitleBranched Standard Spines of 3-manifolds [electronic resource] / by Riccardo Benedetti, Carlo Petronio
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect tohttp://dx.doi.org/10.1007/BFb0093620
Descript VIII, 140 p. online resource

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


CONTENT

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


Mathematics Manifolds (Mathematics) Complex manifolds Mathematics Manifolds and Cell Complexes (incl. Diff.Topology)



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