Meander Determinants

@inproceedings{Francesco1996MeanderD,
  title={Meander Determinants},
  author={Philippe Di Francesco},
  year={1996}
}
We prove a determinantal formula for quantities related to the problem of enumeration of (semi-) meanders, namely the topologically inequivalent planar configurations of non-self-intersecting loops crossing a given (half-) line through a given number of points. This is done by the explicit Gram-Schmidt orthogonalization of certain bases of subspaces of the Temperley-Lieb algebra. 
Highly Cited
This paper has 27 citations. REVIEW CITATIONS

References

Publications referenced by this paper.
Showing 1-10 of 13 references

Integrable lattice models, graphs and modular invariant conformal field theories

  • Di Francesco
  • Int. Jour. Mod. Phys
  • 1992

Science Selecta Math. Sov

  • S Lando, A Zvonkin, Plane, Projective Meanders, Theor, Comp
  • Science Selecta Math. Sov
  • 1992
1 Excerpt

A combinatorial matrix in 3-manifold theory

  • K H Ko, L Smolinsky
  • Pacific. J. Math
  • 1991
2 Excerpts

Potts models and related problems in statistical mechanics

  • P Martin
  • World Scientific
  • 1991
1 Excerpt

Istituto della Enciclopedia Italia

  • A Phillips, La Topologia Dei Labirinti, In M Emmer, Ed L 'occhio Di Horus
  • Istituto della Enciclopedia Italia
  • 1989
1 Excerpt

Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links 1 and 2

  • N Reshetikhin
  • Quantized universal enveloping algebras, the Yang…
  • 1988

The branched covering of CP 2 → S 4 , hyperbolicity and projective topology, Siberian Math

  • V Arnold
  • Jour
  • 1988
1 Excerpt

Similar Papers

Loading similar papers…