Publications of the Scuola Normale Superiore

Petronio, Carlo

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.

Details

Published by: Edizioni della Normale

Publication Date: 1995-10-01

Format: Paperback

ISBN-13: 9788876422560

DOI:

Dimensions: 240cm x170cm

Pages: 61