Dimer Models for Knot Polynomials

A dimer model consists of all perfect matchings on a (bipartite) weighted signed graph, where the product of the signed weights of each perfect matching is summed to obtain an invariant. In this paper, the construction of such a graph from a knot diagram is given to obtain the Alexander polynomial....

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Bibliographic Details
Main Author: Cohen, Moshe
Other Authors: Oporowski, Bogdan
Format: Others
Language:en
Published: LSU 2010
Subjects:
Online Access:http://etd.lsu.edu/docs/available/etd-07082010-142254/