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Dimers on surface graphs and spin structures. II. (English) Zbl 1168.82012

The authors generalize results of their paper [Commun. Math. Phys. 275, No. 1, 187–208 (2007; Zbl 1135.82006)] to the case of compact oriented surfaces with boundary. Also it is showed how the operations of cutting and gluing act on discrete spin structures and how they change the partition function.

MSC:

82B41 Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics
81T99 Quantum field theory; related classical field theories
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics

Citations:

Zbl 1135.82006
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References:

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