Geodesic
Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian
David E Speyer1
1University of Michigan
The electronic journal of combinatorics, Tome 23 (2016) no. 2
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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.
DOI : 10.37236/5871
Classification : 05C30, 05C90, 15A15
Mots-clés : perfect matchings, dimer, determinant, Pfaffian, Kasteleyn, positroid

David E Speyer  1

1 University of Michigan 
@article{10_37236_5871,
     author = {David E Speyer},
     title = {Variations on a theme of {Kasteleyn,} with application to the totally nonnegative {Grassmannian}},
     journal = {The electronic journal of combinatorics},
     year = {2016},
     volume = {23},
     number = {2},
     doi = {10.37236/5871},
     zbl = {1335.05088},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/5871/}
}
TY  - JOUR
AU  - David E Speyer
TI  - Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian
JO  - The electronic journal of combinatorics
PY  - 2016
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/5871/
DO  - 10.37236/5871
ID  - 10_37236_5871
ER  - 
%0 Journal Article
%A David E Speyer
%T Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian
%J The electronic journal of combinatorics
%D 2016
%V 23
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/5871/
%R 10.37236/5871
%F 10_37236_5871
David E Speyer. Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/5871

Cité par Sources :