Standard spines and 3-manifolds

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.

Product details

• Authors: Carlo Petronio
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 20.04.2012
• EAN: 9788876422560
• ISBN: 978-88-7642-256-0
• No. of pages: 61
• Illustrations: 61 p.
• Series: Publications of the Scuola Normale Superiore; Publications of the Scuola Nor; Publications of the Scuola Nor; Publications of the Scuola Normale Superiore
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry