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Branched standard spines of 3-manifolds

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...

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Detalles Bibliográficos
Autores principales: Benedetti, Riccardo, Petronio, Carlo
Lenguaje:eng
Publicado: Springer 1997
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0093620
http://cds.cern.ch/record/1691639
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author Benedetti, Riccardo
Petronio, Carlo
author_facet Benedetti, Riccardo
Petronio, Carlo
author_sort Benedetti, Riccardo
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1997
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spelling cern-16916392021-04-21T21:08:18Zdoi:10.1007/BFb0093620http://cds.cern.ch/record/1691639engBenedetti, RiccardoPetronio, CarloBranched standard spines of 3-manifoldsMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:16916391997
spellingShingle Mathematical Physics and Mathematics
Benedetti, Riccardo
Petronio, Carlo
Branched standard spines of 3-manifolds
title Branched standard spines of 3-manifolds
title_full Branched standard spines of 3-manifolds
title_fullStr Branched standard spines of 3-manifolds
title_full_unstemmed Branched standard spines of 3-manifolds
title_short Branched standard spines of 3-manifolds
title_sort branched standard spines of 3-manifolds
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0093620
http://cds.cern.ch/record/1691639
work_keys_str_mv AT benedettiriccardo branchedstandardspinesof3manifolds
AT petroniocarlo branchedstandardspinesof3manifolds