Standard Spines and 3-Manifolds

1. Auflage 1995
ISBN: 978-88-7642-256-0
Verlag: Scuola Normale Superiore

Buch, Englisch, 61 Seiten, Format (B × H): 169 mm x 240 mm, Gewicht: 263 g

Reihe: Publications of the Scuola Normale Superiore

In general the starting point of the definition and existence theorem of an invariant is a presentation of the objects in the class under consideration, and a calculus for this presentation. More precisely one has a class of concrete objects, a rule to associate a 3-manifold to each object, and a set of moves such that if two objects define the same 3-manifold then they are obtained from each other by a finite number of these moves. In this work I provide a calculus for compact 3-manifolds with boundary based on standard spines, and discuss related questions; in particular, I introduce a general framework for the definition of invariants based on this calculus.

Zielgruppe

Research

Autoren/Hrsg.

Petronio, Carlo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines