A finite graphic calculus for 3-manifolds

@article{Benedetti1995AFG,
  title={A finite graphic calculus for 3-manifolds},
  author={Riccardo Benedetti and Carlo Petronio},
  journal={manuscripta mathematica},
  year={1995},
  volume={88},
  pages={291-310}
}
In this paper we provide a presentation for compact oriented 3-manifolds with non-empty boundary up to orientation-preserving homeomorphism via a calculus on suitable finite planar graphs with extra structure (decorated graphs). Closed manifolds are included in this representation by removing a 3-ball. Decorated graphs have an intrinsic geometric counterpart, as they are actually obtained by considering standard spines of the manifold and extra structure on them (decorated spines). The calculus… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-6 OF 6 REFERENCES

VIRO, State sum invariants of 3-manifolds and quantum 6j-symbols

YA V.G.TURAEV-O.
  • Topology
  • 1992
VIEW 2 EXCERPTS

MATVEEV, Universal 3-deformations of special polyhedra

.V S
  • Russ. Math. Surv
  • 1987
VIEW 2 EXCERPTS

SANDERSON, An introduction to piecewise linear topology

B J.C.P.ROURKE-
  • Ergebn. der Math. Bd
  • 1982
VIEW 1 EXCERPT

A calculus forfl'amed links in S a

R. KIRBY
  • Invent. Math
  • 1978
VIEW 1 EXCERPT