Meander Determinants
High Energy Physics - Theory
2008-02-03 v1 Quantum Algebra
q-alg
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9612026,
title = {Meander Determinants},
author = {P. Di Francesco},
journal= {arXiv preprint arXiv:hep-th/9612026},
year = {2008}
}
Comments
TeX using harvmac.tex and epsf.tex, 64 pages (l-mode), 79 figures