Standard Spines and 3-Manifolds by Carlo Petronio 0000-00-00 00:00:00

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by Carlo Petronio
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Standard Spines and 3-Manifolds by Carlo Petronio
Author
Carlo Petronio
Publisher
Edizioni Della Normale
Date of release
Pages
61
ISBN
9788876422560
Binding
Paperback
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PDF, EPUB, MOBI, TXT, DOC
Rating
5
36
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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.

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