Meander Determinants

Details Meander Determinants Meander Determinants

1996-12-02

arxiv.org/abs/hep-th/9612026v1

Physics

High Energy Physics

High Energy Physics - Theory

TeX using harvmac.tex and epsf.tex, 64 pages (l-mode), 79 figures

Scientific paper

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.

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