Add to ORKGThe main result of this article is a Pfaffian formula for the partition function of the dimer model on any graph Γ embedded in a closed, possibly non-orientable surface Σ. This formula is suitable for computational purposes, and it is obtained using purely geometrical methods. The key step in the proof consists of a correspondence between some orientations on Γ and the set of pin− structures on Σ. This generalizes (and simplifies) the results of a previous article (Cimasoni and Reshetikhin in Commun Math Phys 275:187-208, 2007
We revisit D3-branes at toric CY3 singularities with orientifolds and their description in terms of ...
In this thesis we give an exact solution of the dimer model on the square and triangular lattice wit...
We develop a framework to study the dimer model on Temperleyan graphs embedded on a Riemann surface ...
The main result of this paper is a Pfaffian formula for the partition function of the dimer model on...
In a previous paper [3], we showed how certain orientations of the edges of a graph Γ embedded in a ...
In a previous paper, we showed how certain orientations of the edges of a graph Γ embedded in a clos...
Partition functions for dimers on closed oriented surfaces are known to be alternating sums of Pfaff...
AbstractWe generalize Kasteleyn's method of enumerating the perfect matchings in a planar graph to g...
In 1961 Kasteleyn solved the dimer problem. With the use of Pfaffans he managed to find a formula to...
The dissimilar Pfaffian orientations in planar and biparite graphs are discussed. An orientation D o...
Le but de cette thèse est d'étudier le modèle des dimères, le modèle des monomères-dimères, et le mo...
We prove the Pfaffian Sign Theorem for the dimer model on a triangular lattice embedded in the torus...
AbstractWe express the 3D Dimer partition function on a finite lattice as a linear combination of de...
AbstractThe permanental polynomial of a graph G is π(G,x)≜per(xI−A(G)). From the result that a bipar...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135633/1/jlms0633.pd
We revisit D3-branes at toric CY3 singularities with orientifolds and their description in terms of ...
In this thesis we give an exact solution of the dimer model on the square and triangular lattice wit...
We develop a framework to study the dimer model on Temperleyan graphs embedded on a Riemann surface ...
The main result of this paper is a Pfaffian formula for the partition function of the dimer model on...
In a previous paper [3], we showed how certain orientations of the edges of a graph Γ embedded in a ...
In a previous paper, we showed how certain orientations of the edges of a graph Γ embedded in a clos...
Partition functions for dimers on closed oriented surfaces are known to be alternating sums of Pfaff...
AbstractWe generalize Kasteleyn's method of enumerating the perfect matchings in a planar graph to g...
In 1961 Kasteleyn solved the dimer problem. With the use of Pfaffans he managed to find a formula to...
The dissimilar Pfaffian orientations in planar and biparite graphs are discussed. An orientation D o...
Le but de cette thèse est d'étudier le modèle des dimères, le modèle des monomères-dimères, et le mo...
We prove the Pfaffian Sign Theorem for the dimer model on a triangular lattice embedded in the torus...
AbstractWe express the 3D Dimer partition function on a finite lattice as a linear combination of de...
AbstractThe permanental polynomial of a graph G is π(G,x)≜per(xI−A(G)). From the result that a bipar...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135633/1/jlms0633.pd
We revisit D3-branes at toric CY3 singularities with orientifolds and their description in terms of ...
In this thesis we give an exact solution of the dimer model on the square and triangular lattice wit...
We develop a framework to study the dimer model on Temperleyan graphs embedded on a Riemann surface ...