๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A calculus for branched spines of 3-manifolds

โœ Scribed by Francesco Costantino

Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
308 KB
Volume
251
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.

โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Heegaard spines of 3-manifolds
Heegaard spines of 3-manifolds
โœ Paola Bandieri ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Akadmiai Kiad ๐ŸŒ English โš– 872 KB
Equivalence of a bridged link calculus a
Equivalence of a bridged link calculus and Kirby's calculus of links on nonsimply connected 3-manifolds
โœ Thomas Kerler ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 481 KB

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

Lins-Mandel manifolds as branched coveri
Lins-Mandel manifolds as branched coverings of S3
โœ Anna Donati ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB

The Lins-Mandel manifolds 6e(b, l, t, 1) are proved to be 2-fold coverings of S 3 branched -over a link. This permits to prove some conjectured properties of these spaces.