Dimers on graphs in non-orientable surfaces

Details Dimers on graphs in non-orientable surfaces Dimers on graphs in non-orientable surfaces

2008-04-30

arxiv.org/abs/0804.4772v3

Physics

Mathematical Physics

27 pages, 5 figures; minor changes in v3

Scientific paper

10.1007/s11005-009-0299-2

The main result of this paper is a Pfaffian formula for the partition function of the dimer model on a graph G embedded in a closed, possibly non-orientable surface S. 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 G and the set of pin^- structures on S. This generalizes (and simplifies) the results of a previous paper [2].

Affiliated with

Also associated with

No associations

Rating

Dimers on graphs in non-orientable surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dimers on graphs in non-orientable surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dimers on graphs in non-orientable surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577431