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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...
Autores principales: | , |
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Lenguaje: | eng |
Publicado: |
Springer
1997
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Acceso en línea: | https://dx.doi.org/10.1007/BFb0093620 http://cds.cern.ch/record/1691639 |
_version_ | 1780935797139046400 |
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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. |
id | cern-1691639 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1997 |
publisher | Springer |
record_format | invenio |
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 |