Variations on a theme of Kasteleyn, with Application to the Totally Nonnegative Grassmannian

  • David E Speyer
DOI: https://doi.org/10.37236/5871
Keywords: Perfect matchings, Dimers, Determinant, Pfaffian, Kasteleyn, Positroid

Abstract

We provide a short proof of a classical result of Kasteleyn, and prove several variants thereof. One of these results has become key in the parametrization of positroid varieties, and thus deserves the short direct proof which we provide.

Published
2016-04-29
How to Cite
Speyer, D. E. (2016). Variations on a theme of Kasteleyn, with Application to the Totally Nonnegative Grassmannian. The Electronic Journal of Combinatorics, 23(2), P2.24. https://doi.org/10.37236/5871
Issue
Volume 23, Issue 2 (2016)
Article Number
P2.24