Standard Spines and 3-Manifolds Contributor(s): Petronio, Carlo (Author) |
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ISBN: 8876422560 ISBN-13: 9788876422560 Publisher: Edizioni Della Normale OUR PRICE: $14.20 Product Type: Paperback Published: October 1995 |
Additional Information |
BISAC Categories: - Mathematics | Topology - General |
Dewey: 514.34 |
Series: Publications of the Scuola Normale Superiore |
Physical Information: 0.35" H x 6.64" W x 9.46" (0.58 lbs) 61 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |