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© 1997

Branched Standard Spines of 3-manifolds

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1653)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Riccardo Benedetti, Carlo Petronio
    Pages 1-12
  3. Riccardo Benedetti, Carlo Petronio
    Pages 13-22
  4. Riccardo Benedetti, Carlo Petronio
    Pages 23-39
  5. Riccardo Benedetti, Carlo Petronio
    Pages 40-63
  6. Riccardo Benedetti, Carlo Petronio
    Pages 64-72
  7. Riccardo Benedetti, Carlo Petronio
    Pages 73-84
  8. Riccardo Benedetti, Carlo Petronio
    Pages 85-97
  9. Riccardo Benedetti, Carlo Petronio
    Pages 98-107
  10. Riccardo Benedetti, Carlo Petronio
    Pages 108-120
  11. Riccardo Benedetti, Carlo Petronio
    Pages 121-126
  12. Back Matter
    Pages 127-132

About this book

Introduction

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.

Keywords

Calc Finite Invariant Topological manifolds calculus cohomology computation differential equations dynamical systems graphs manifold object quantum invariant review topology

Bibliographic information

  • Book Title Branched Standard Spines of 3-manifolds
  • Authors Riccardo Benedetti
    Carlo Petronio
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0093620
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-62627-5
  • eBook ISBN 978-3-540-68345-2
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 140
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Manifolds and Cell Complexes (incl. Diff.Topology)
  • Buy this book on publisher's site