We establish a calculus for branched spines of 3-manifolds by means of branched Matveev-Piergallini moves and branched bubble-moves. We briefly indicate some of its possible applications in the study and definition of State-Sum Quantum Invariants.
A finite graphic calculus for 3-manifolds
β Scribed by Riccardo Benedetti; Carlo Petronio
- Book ID
- 110558526
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 905 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0025-2611
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π SIMILAR VOLUMES
We recall an extension of Kirby's calculus on nonsimply connected 3-manifolds given by Fenn and Rourke ( 1979). and the surgery calculus of bridged links from Kerler (1994), which involves only local moves. We give a short combinatorial proof that the two calculi are equivalent, and thus describe th
## Abstract Refining the notion of an ideal triangulation of a compact threeβmanifold, we provide in this paper a combinatorial presentation of the set of pairs (__M__,__Ξ±__), where __M__ is a threeβmanifold and __Ξ±__ is a collection of properly embedded arcs. We also show that certain wellβunderst