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Close-packed dimers on nonorientable surfaces

Wentao T. Lu·F. Y. Wu
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Abstract

The problem of enumerating dimers on an M x N net embedded on non-orientable surfaces is considered. We solve both the Moebius strip and Klein bottle problems for all M and N with the aid of imaginary dimer weights. The use of imaginary weights simplifies the analysis, and as a result we obtain new compact solutions in the form of double products. The compact expressions also permit us to establish a general reciprocity theorem.

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BibTeXRIS

Wentao T. Lu, F. Y. Wu. 2002-02-18. Close-packed dimers on nonorientable surfaces. https://doi.org/10.1016/s0375-9601(02)00019-1

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